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Finding the Third Proportional to 71,565.19 and 149,014.69

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Solution

The third proportional to 71,565.19 and 149,014.69 is: 310,281.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,565.19 : 149,014.69 = 149,014.69 : x
  2. Step 2: Convert to fraction form
    71,565.19/149,014.69 = 149,014.69/x
  3. Step 3: Cross multiply
    71,565.19x = 149,014.69 × 149,014.69
  4. Step 4: Simplify right side
    71,565.19x = 22,205,377,090.72
  5. Step 5: Solve for x
    x = 22,205,377,090.72/71,565.19
  6. Step 6: Final answer
    x = 310,281.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.