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Finding the Third Proportional to 110,502,782.75 and 184,160,205.38

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Solution

The third proportional to 110,502,782.75 and 184,160,205.38 is: 306,915,178.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,502,782.75 : 184,160,205.38 = 184,160,205.38 : x
  2. Step 2: Convert to fraction form
    110,502,782.75/184,160,205.38 = 184,160,205.38/x
  3. Step 3: Cross multiply
    110,502,782.75x = 184,160,205.38 × 184,160,205.38
  4. Step 4: Simplify right side
    110,502,782.75x = 33,914,981,243,762,180
  5. Step 5: Solve for x
    x = 33,914,981,243,762,180/110,502,782.75
  6. Step 6: Final answer
    x = 306,915,178.06

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.