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Finding the Third Proportional to 71,867.81 and 156,319.88

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Solution

The third proportional to 71,867.81 and 156,319.88 is: 340,011.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,867.81 : 156,319.88 = 156,319.88 : x
  2. Step 2: Convert to fraction form
    71,867.81/156,319.88 = 156,319.88/x
  3. Step 3: Cross multiply
    71,867.81x = 156,319.88 × 156,319.88
  4. Step 4: Simplify right side
    71,867.81x = 24,435,903,320.02
  5. Step 5: Solve for x
    x = 24,435,903,320.02/71,867.81
  6. Step 6: Final answer
    x = 340,011.79

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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.