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Finding the Third Proportional to 71,758 and 156,434

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Solution

The third proportional to 71,758 and 156,434 is: 341,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,758 : 156,434 = 156,434 : x
  2. Step 2: Convert to fraction form
    71,758/156,434 = 156,434/x
  3. Step 3: Cross multiply
    71,758x = 156,434 × 156,434
  4. Step 4: Simplify right side
    71,758x = 24,471,596,356
  5. Step 5: Solve for x
    x = 24,471,596,356/71,758
  6. Step 6: Final answer
    x = 341,029.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.