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Finding the Third Proportional to 520,731.28 and 781,095.66

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Solution

The third proportional to 520,731.28 and 781,095.66 is: 1,171,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,731.28 : 781,095.66 = 781,095.66 : x
  2. Step 2: Convert to fraction form
    520,731.28/781,095.66 = 781,095.66/x
  3. Step 3: Cross multiply
    520,731.28x = 781,095.66 × 781,095.66
  4. Step 4: Simplify right side
    520,731.28x = 610,110,424,212.62
  5. Step 5: Solve for x
    x = 610,110,424,212.62/520,731.28
  6. Step 6: Final answer
    x = 1,171,641.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.