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Finding the Third Proportional to 531,712 and 817,280

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Solution

The third proportional to 531,712 and 817,280 is: 1,256,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,712 : 817,280 = 817,280 : x
  2. Step 2: Convert to fraction form
    531,712/817,280 = 817,280/x
  3. Step 3: Cross multiply
    531,712x = 817,280 × 817,280
  4. Step 4: Simplify right side
    531,712x = 667,946,598,400
  5. Step 5: Solve for x
    x = 667,946,598,400/531,712
  6. Step 6: Final answer
    x = 1,256,218.78

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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.