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Finding the Third Proportional to 531,709 and 817,275

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Solution

The third proportional to 531,709 and 817,275 is: 1,256,210.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,709 : 817,275 = 817,275 : x
  2. Step 2: Convert to fraction form
    531,709/817,275 = 817,275/x
  3. Step 3: Cross multiply
    531,709x = 817,275 × 817,275
  4. Step 4: Simplify right side
    531,709x = 667,938,425,625
  5. Step 5: Solve for x
    x = 667,938,425,625/531,709
  6. Step 6: Final answer
    x = 1,256,210.49

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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.