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Finding the Third Proportional to 461,684 and 721,686

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Solution

The third proportional to 461,684 and 721,686 is: 1,128,110.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,684 : 721,686 = 721,686 : x
  2. Step 2: Convert to fraction form
    461,684/721,686 = 721,686/x
  3. Step 3: Cross multiply
    461,684x = 721,686 × 721,686
  4. Step 4: Simplify right side
    461,684x = 520,830,682,596
  5. Step 5: Solve for x
    x = 520,830,682,596/461,684
  6. Step 6: Final answer
    x = 1,128,110.75

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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.