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Finding the Third Proportional to 462,891 and 721,400

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Solution

The third proportional to 462,891 and 721,400 is: 1,124,277.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,891 : 721,400 = 721,400 : x
  2. Step 2: Convert to fraction form
    462,891/721,400 = 721,400/x
  3. Step 3: Cross multiply
    462,891x = 721,400 × 721,400
  4. Step 4: Simplify right side
    462,891x = 520,417,960,000
  5. Step 5: Solve for x
    x = 520,417,960,000/462,891
  6. Step 6: Final answer
    x = 1,124,277.55

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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.