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Finding the Third Proportional to 462,930 and 721,458

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Solution

The third proportional to 462,930 and 721,458 is: 1,124,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,930 : 721,458 = 721,458 : x
  2. Step 2: Convert to fraction form
    462,930/721,458 = 721,458/x
  3. Step 3: Cross multiply
    462,930x = 721,458 × 721,458
  4. Step 4: Simplify right side
    462,930x = 520,501,645,764
  5. Step 5: Solve for x
    x = 520,501,645,764/462,930
  6. Step 6: Final answer
    x = 1,124,363.61

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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.