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Finding the Third Proportional to 118,966.50 and 163,140.75

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Solution

The third proportional to 118,966.50 and 163,140.75 is: 223,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,966.50 : 163,140.75 = 163,140.75 : x
  2. Step 2: Convert to fraction form
    118,966.50/163,140.75 = 163,140.75/x
  3. Step 3: Cross multiply
    118,966.50x = 163,140.75 × 163,140.75
  4. Step 4: Simplify right side
    118,966.50x = 26,614,904,310.56
  5. Step 5: Solve for x
    x = 26,614,904,310.56/118,966.50
  6. Step 6: Final answer
    x = 223,717.64

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.