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Finding the Third Proportional to 66,544.98 and 145,132.70

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Solution

The third proportional to 66,544.98 and 145,132.70 is: 316,530.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,544.98 : 145,132.70 = 145,132.70 : x
  2. Step 2: Convert to fraction form
    66,544.98/145,132.70 = 145,132.70/x
  3. Step 3: Cross multiply
    66,544.98x = 145,132.70 × 145,132.70
  4. Step 4: Simplify right side
    66,544.98x = 21,063,500,382.52
  5. Step 5: Solve for x
    x = 21,063,500,382.52/66,544.98
  6. Step 6: Final answer
    x = 316,530.27

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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.