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Finding the Third Proportional to 491,436 and 781,416

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Solution

The third proportional to 491,436 and 781,416 is: 1,242,503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,436 : 781,416 = 781,416 : x
  2. Step 2: Convert to fraction form
    491,436/781,416 = 781,416/x
  3. Step 3: Cross multiply
    491,436x = 781,416 × 781,416
  4. Step 4: Simplify right side
    491,436x = 610,610,965,056
  5. Step 5: Solve for x
    x = 610,610,965,056/491,436
  6. Step 6: Final answer
    x = 1,242,503.53

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.