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Finding the Third Proportional to 461,688 and 721,692

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Solution

The third proportional to 461,688 and 721,692 is: 1,128,119.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,688 : 721,692 = 721,692 : x
  2. Step 2: Convert to fraction form
    461,688/721,692 = 721,692/x
  3. Step 3: Cross multiply
    461,688x = 721,692 × 721,692
  4. Step 4: Simplify right side
    461,688x = 520,839,342,864
  5. Step 5: Solve for x
    x = 520,839,342,864/461,688
  6. Step 6: Final answer
    x = 1,128,119.73

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.