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Finding the Third Proportional to 486,289 and 781,329

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Solution

The third proportional to 486,289 and 781,329 is: 1,255,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,289 : 781,329 = 781,329 : x
  2. Step 2: Convert to fraction form
    486,289/781,329 = 781,329/x
  3. Step 3: Cross multiply
    486,289x = 781,329 × 781,329
  4. Step 4: Simplify right side
    486,289x = 610,475,006,241
  5. Step 5: Solve for x
    x = 610,475,006,241/486,289
  6. Step 6: Final answer
    x = 1,255,374.90

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.