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Finding the Third Proportional to 531,726 and 817,302

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Solution

The third proportional to 531,726 and 817,302 is: 1,256,253.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,726 : 817,302 = 817,302 : x
  2. Step 2: Convert to fraction form
    531,726/817,302 = 817,302/x
  3. Step 3: Cross multiply
    531,726x = 817,302 × 817,302
  4. Step 4: Simplify right side
    531,726x = 667,982,559,204
  5. Step 5: Solve for x
    x = 667,982,559,204/531,726
  6. Step 6: Final answer
    x = 1,256,253.33

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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.