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Finding the Third Proportional to 60,612 and 81,532.50

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Solution

The third proportional to 60,612 and 81,532.50 is: 109,673.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,612 : 81,532.50 = 81,532.50 : x
  2. Step 2: Convert to fraction form
    60,612/81,532.50 = 81,532.50/x
  3. Step 3: Cross multiply
    60,612x = 81,532.50 × 81,532.50
  4. Step 4: Simplify right side
    60,612x = 6,647,548,556.25
  5. Step 5: Solve for x
    x = 6,647,548,556.25/60,612
  6. Step 6: Final answer
    x = 109,673.80

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.