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Finding the Third Proportional to 428,427 and 602,532

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Solution

The third proportional to 428,427 and 602,532 is: 847,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,427 : 602,532 = 602,532 : x
  2. Step 2: Convert to fraction form
    428,427/602,532 = 602,532/x
  3. Step 3: Cross multiply
    428,427x = 602,532 × 602,532
  4. Step 4: Simplify right side
    428,427x = 363,044,811,024
  5. Step 5: Solve for x
    x = 363,044,811,024/428,427
  6. Step 6: Final answer
    x = 847,390.13

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.