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Finding the Third Proportional to 465,626 and 721,214

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Solution

The third proportional to 465,626 and 721,214 is: 1,117,097.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,626 : 721,214 = 721,214 : x
  2. Step 2: Convert to fraction form
    465,626/721,214 = 721,214/x
  3. Step 3: Cross multiply
    465,626x = 721,214 × 721,214
  4. Step 4: Simplify right side
    465,626x = 520,149,633,796
  5. Step 5: Solve for x
    x = 520,149,633,796/465,626
  6. Step 6: Final answer
    x = 1,117,097.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.