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Finding the Third Proportional to 397,769 and 602,432

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Solution

The third proportional to 397,769 and 602,432 is: 912,399.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,769 : 602,432 = 602,432 : x
  2. Step 2: Convert to fraction form
    397,769/602,432 = 602,432/x
  3. Step 3: Cross multiply
    397,769x = 602,432 × 602,432
  4. Step 4: Simplify right side
    397,769x = 362,924,314,624
  5. Step 5: Solve for x
    x = 362,924,314,624/397,769
  6. Step 6: Final answer
    x = 912,399.70

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Why These Related Problems?

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