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Finding the Third Proportional to 61,519.50 and 87,972.50

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Solution

The third proportional to 61,519.50 and 87,972.50 is: 125,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,519.50 : 87,972.50 = 87,972.50 : x
  2. Step 2: Convert to fraction form
    61,519.50/87,972.50 = 87,972.50/x
  3. Step 3: Cross multiply
    61,519.50x = 87,972.50 × 87,972.50
  4. Step 4: Simplify right side
    61,519.50x = 7,739,160,756.25
  5. Step 5: Solve for x
    x = 7,739,160,756.25/61,519.50
  6. Step 6: Final answer
    x = 125,800.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.