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Finding the Third Proportional to 71,458 and 159,831

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Solution

The third proportional to 71,458 and 159,831 is: 357,495.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,458 : 159,831 = 159,831 : x
  2. Step 2: Convert to fraction form
    71,458/159,831 = 159,831/x
  3. Step 3: Cross multiply
    71,458x = 159,831 × 159,831
  4. Step 4: Simplify right side
    71,458x = 25,545,948,561
  5. Step 5: Solve for x
    x = 25,545,948,561/71,458
  6. Step 6: Final answer
    x = 357,495.99

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.