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Finding the Third Proportional to 360,159 and 781,366

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Solution

The third proportional to 360,159 and 781,366 is: 1,695,175.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,159 : 781,366 = 781,366 : x
  2. Step 2: Convert to fraction form
    360,159/781,366 = 781,366/x
  3. Step 3: Cross multiply
    360,159x = 781,366 × 781,366
  4. Step 4: Simplify right side
    360,159x = 610,532,825,956
  5. Step 5: Solve for x
    x = 610,532,825,956/360,159
  6. Step 6: Final answer
    x = 1,695,175.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.