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Finding the Third Proportional to 531,707 and 817,271

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Solution

The third proportional to 531,707 and 817,271 is: 1,256,202.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,707 : 817,271 = 817,271 : x
  2. Step 2: Convert to fraction form
    531,707/817,271 = 817,271/x
  3. Step 3: Cross multiply
    531,707x = 817,271 × 817,271
  4. Step 4: Simplify right side
    531,707x = 667,931,887,441
  5. Step 5: Solve for x
    x = 667,931,887,441/531,707
  6. Step 6: Final answer
    x = 1,256,202.92

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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.