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Finding the Third Proportional to 461,686 and 721,689

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Solution

The third proportional to 461,686 and 721,689 is: 1,128,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,686 : 721,689 = 721,689 : x
  2. Step 2: Convert to fraction form
    461,686/721,689 = 721,689/x
  3. Step 3: Cross multiply
    461,686x = 721,689 × 721,689
  4. Step 4: Simplify right side
    461,686x = 520,835,012,721
  5. Step 5: Solve for x
    x = 520,835,012,721/461,686
  6. Step 6: Final answer
    x = 1,128,115.24

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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.