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Finding the Third Proportional to 531,718 and 817,287

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Solution

The third proportional to 531,718 and 817,287 is: 1,256,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,718 : 817,287 = 817,287 : x
  2. Step 2: Convert to fraction form
    531,718/817,287 = 817,287/x
  3. Step 3: Cross multiply
    531,718x = 817,287 × 817,287
  4. Step 4: Simplify right side
    531,718x = 667,958,040,369
  5. Step 5: Solve for x
    x = 667,958,040,369/531,718
  6. Step 6: Final answer
    x = 1,256,226.12

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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.