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Finding the Third Proportional to 77,982.38 and 108,652.50

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Solution

The third proportional to 77,982.38 and 108,652.50 is: 151,385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,982.38 : 108,652.50 = 108,652.50 : x
  2. Step 2: Convert to fraction form
    77,982.38/108,652.50 = 108,652.50/x
  3. Step 3: Cross multiply
    77,982.38x = 108,652.50 × 108,652.50
  4. Step 4: Simplify right side
    77,982.38x = 11,805,365,756.25
  5. Step 5: Solve for x
    x = 11,805,365,756.25/77,982.38
  6. Step 6: Final answer
    x = 151,385.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.