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Finding the Third Proportional to 531,722 and 817,298

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Solution

The third proportional to 531,722 and 817,298 is: 1,256,250.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,722 : 817,298 = 817,298 : x
  2. Step 2: Convert to fraction form
    531,722/817,298 = 817,298/x
  3. Step 3: Cross multiply
    531,722x = 817,298 × 817,298
  4. Step 4: Simplify right side
    531,722x = 667,976,020,804
  5. Step 5: Solve for x
    x = 667,976,020,804/531,722
  6. Step 6: Final answer
    x = 1,256,250.49

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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.