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Finding the Third Proportional to 66,913.59 and 144,853.31

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Solution

The third proportional to 66,913.59 and 144,853.31 is: 313,575.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,913.59 : 144,853.31 = 144,853.31 : x
  2. Step 2: Convert to fraction form
    66,913.59/144,853.31 = 144,853.31/x
  3. Step 3: Cross multiply
    66,913.59x = 144,853.31 × 144,853.31
  4. Step 4: Simplify right side
    66,913.59x = 20,982,482,142.22
  5. Step 5: Solve for x
    x = 20,982,482,142.22/66,913.59
  6. Step 6: Final answer
    x = 313,575.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.