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Finding the Third Proportional to 393,605 and 626,609

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Solution

The third proportional to 393,605 and 626,609 is: 997,545.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,605 : 626,609 = 626,609 : x
  2. Step 2: Convert to fraction form
    393,605/626,609 = 626,609/x
  3. Step 3: Cross multiply
    393,605x = 626,609 × 626,609
  4. Step 4: Simplify right side
    393,605x = 392,638,838,881
  5. Step 5: Solve for x
    x = 392,638,838,881/393,605
  6. Step 6: Final answer
    x = 997,545.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.