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Finding the Third Proportional to 75,472.50 and 161,512.50

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Solution

The third proportional to 75,472.50 and 161,512.50 is: 345,639.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,472.50 : 161,512.50 = 161,512.50 : x
  2. Step 2: Convert to fraction form
    75,472.50/161,512.50 = 161,512.50/x
  3. Step 3: Cross multiply
    75,472.50x = 161,512.50 × 161,512.50
  4. Step 4: Simplify right side
    75,472.50x = 26,086,287,656.25
  5. Step 5: Solve for x
    x = 26,086,287,656.25/75,472.50
  6. Step 6: Final answer
    x = 345,639.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.