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Finding the Third Proportional to 531,709.31 and 817,274.81

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Solution

The third proportional to 531,709.31 and 817,274.81 is: 1,256,209.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,709.31 : 817,274.81 = 817,274.81 : x
  2. Step 2: Convert to fraction form
    531,709.31/817,274.81 = 817,274.81/x
  3. Step 3: Cross multiply
    531,709.31x = 817,274.81 × 817,274.81
  4. Step 4: Simplify right side
    531,709.31x = 667,938,119,146.91
  5. Step 5: Solve for x
    x = 667,938,119,146.91/531,709.31
  6. Step 6: Final answer
    x = 1,256,209.18

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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.