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Finding the Third Proportional to 78,125.50 and 161,789.50

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Solution

The third proportional to 78,125.50 and 161,789.50 is: 335,048.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,125.50 : 161,789.50 = 161,789.50 : x
  2. Step 2: Convert to fraction form
    78,125.50/161,789.50 = 161,789.50/x
  3. Step 3: Cross multiply
    78,125.50x = 161,789.50 × 161,789.50
  4. Step 4: Simplify right side
    78,125.50x = 26,175,842,310.25
  5. Step 5: Solve for x
    x = 26,175,842,310.25/78,125.50
  6. Step 6: Final answer
    x = 335,048.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.