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Finding the Third Proportional to 531,721.13 and 817,293.38

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Solution

The third proportional to 531,721.13 and 817,293.38 is: 1,256,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,721.13 : 817,293.38 = 817,293.38 : x
  2. Step 2: Convert to fraction form
    531,721.13/817,293.38 = 817,293.38/x
  3. Step 3: Cross multiply
    531,721.13x = 817,293.38 × 817,293.38
  4. Step 4: Simplify right side
    531,721.13x = 667,968,460,818.89
  5. Step 5: Solve for x
    x = 667,968,460,818.89/531,721.13
  6. Step 6: Final answer
    x = 1,256,238.34

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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.