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Finding the Third Proportional to 66,958.72 and 144,167.40

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Solution

The third proportional to 66,958.72 and 144,167.40 is: 310,403.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,958.72 : 144,167.40 = 144,167.40 : x
  2. Step 2: Convert to fraction form
    66,958.72/144,167.40 = 144,167.40/x
  3. Step 3: Cross multiply
    66,958.72x = 144,167.40 × 144,167.40
  4. Step 4: Simplify right side
    66,958.72x = 20,784,240,109.73
  5. Step 5: Solve for x
    x = 20,784,240,109.73/66,958.72
  6. Step 6: Final answer
    x = 310,403.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.