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Finding the Third Proportional to 83,284.50 and 132,460.50

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Solution

The third proportional to 83,284.50 and 132,460.50 is: 210,672.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,284.50 : 132,460.50 = 132,460.50 : x
  2. Step 2: Convert to fraction form
    83,284.50/132,460.50 = 132,460.50/x
  3. Step 3: Cross multiply
    83,284.50x = 132,460.50 × 132,460.50
  4. Step 4: Simplify right side
    83,284.50x = 17,545,784,060.25
  5. Step 5: Solve for x
    x = 17,545,784,060.25/83,284.50
  6. Step 6: Final answer
    x = 210,672.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.