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Finding the Third Proportional to 421,832.81 and 602,791.88

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Solution

The third proportional to 421,832.81 and 602,791.88 is: 861,379.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,832.81 : 602,791.88 = 602,791.88 : x
  2. Step 2: Convert to fraction form
    421,832.81/602,791.88 = 602,791.88/x
  3. Step 3: Cross multiply
    421,832.81x = 602,791.88 × 602,791.88
  4. Step 4: Simplify right side
    421,832.81x = 363,358,044,566.02
  5. Step 5: Solve for x
    x = 363,358,044,566.02/421,832.81
  6. Step 6: Final answer
    x = 861,379.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.