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Finding the Third Proportional to 393,616 and 626,624

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Solution

The third proportional to 393,616 and 626,624 is: 997,565.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,616 : 626,624 = 626,624 : x
  2. Step 2: Convert to fraction form
    393,616/626,624 = 626,624/x
  3. Step 3: Cross multiply
    393,616x = 626,624 × 626,624
  4. Step 4: Simplify right side
    393,616x = 392,657,637,376
  5. Step 5: Solve for x
    x = 392,657,637,376/393,616
  6. Step 6: Final answer
    x = 997,565.23

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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.