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Finding the Third Proportional to 531,711 and 817,278

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Solution

The third proportional to 531,711 and 817,278 is: 1,256,214.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,711 : 817,278 = 817,278 : x
  2. Step 2: Convert to fraction form
    531,711/817,278 = 817,278/x
  3. Step 3: Cross multiply
    531,711x = 817,278 × 817,278
  4. Step 4: Simplify right side
    531,711x = 667,943,329,284
  5. Step 5: Solve for x
    x = 667,943,329,284/531,711
  6. Step 6: Final answer
    x = 1,256,214.99

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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.