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Finding the Third Proportional to 462,898 and 721,413

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Solution

The third proportional to 462,898 and 721,413 is: 1,124,301.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,898 : 721,413 = 721,413 : x
  2. Step 2: Convert to fraction form
    462,898/721,413 = 721,413/x
  3. Step 3: Cross multiply
    462,898x = 721,413 × 721,413
  4. Step 4: Simplify right side
    462,898x = 520,436,716,569
  5. Step 5: Solve for x
    x = 520,436,716,569/462,898
  6. Step 6: Final answer
    x = 1,124,301.07

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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.