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Finding the Third Proportional to 350,304 and 728,565

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Solution

The third proportional to 350,304 and 728,565 is: 1,515,275.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,304 : 728,565 = 728,565 : x
  2. Step 2: Convert to fraction form
    350,304/728,565 = 728,565/x
  3. Step 3: Cross multiply
    350,304x = 728,565 × 728,565
  4. Step 4: Simplify right side
    350,304x = 530,806,959,225
  5. Step 5: Solve for x
    x = 530,806,959,225/350,304
  6. Step 6: Final answer
    x = 1,515,275.19

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.