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Finding the Third Proportional to 380,723,428,840.59 and 575,981,768,220.89

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Solution

The third proportional to 380,723,428,840.59 and 575,981,768,220.89 is: 871,380,567,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,723,428,840.59 : 575,981,768,220.89 = 575,981,768,220.89 : x
  2. Step 2: Convert to fraction form
    380,723,428,840.59/575,981,768,220.89 = 575,981,768,220.89/x
  3. Step 3: Cross multiply
    380,723,428,840.59x = 575,981,768,220.89 × 575,981,768,220.89
  4. Step 4: Simplify right side
    380,723,428,840.59x = 331,754,997,322,863,052,062,720
  5. Step 5: Solve for x
    x = 331,754,997,322,863,052,062,720/380,723,428,840.59
  6. Step 6: Final answer
    x = 871,380,567,077.66

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.