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Finding the Third Proportional to 62,492 and 132,432.50

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Solution

The third proportional to 62,492 and 132,432.50 is: 280,649.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,492 : 132,432.50 = 132,432.50 : x
  2. Step 2: Convert to fraction form
    62,492/132,432.50 = 132,432.50/x
  3. Step 3: Cross multiply
    62,492x = 132,432.50 × 132,432.50
  4. Step 4: Simplify right side
    62,492x = 17,538,367,056.25
  5. Step 5: Solve for x
    x = 17,538,367,056.25/62,492
  6. Step 6: Final answer
    x = 280,649.80

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.