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Finding the Third Proportional to 308,928 and 721,748

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Solution

The third proportional to 308,928 and 721,748 is: 1,686,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,928 : 721,748 = 721,748 : x
  2. Step 2: Convert to fraction form
    308,928/721,748 = 721,748/x
  3. Step 3: Cross multiply
    308,928x = 721,748 × 721,748
  4. Step 4: Simplify right side
    308,928x = 520,920,175,504
  5. Step 5: Solve for x
    x = 520,920,175,504/308,928
  6. Step 6: Final answer
    x = 1,686,218.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.