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Finding the Third Proportional to 531,715 and 817,282

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Solution

The third proportional to 531,715 and 817,282 is: 1,256,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,715 : 817,282 = 817,282 : x
  2. Step 2: Convert to fraction form
    531,715/817,282 = 817,282/x
  3. Step 3: Cross multiply
    531,715x = 817,282 × 817,282
  4. Step 4: Simplify right side
    531,715x = 667,949,867,524
  5. Step 5: Solve for x
    x = 667,949,867,524/531,715
  6. Step 6: Final answer
    x = 1,256,217.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.