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Finding the Third Proportional to 61,996.32 and 132,104.20

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Solution

The third proportional to 61,996.32 and 132,104.20 is: 281,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,996.32 : 132,104.20 = 132,104.20 : x
  2. Step 2: Convert to fraction form
    61,996.32/132,104.20 = 132,104.20/x
  3. Step 3: Cross multiply
    61,996.32x = 132,104.20 × 132,104.20
  4. Step 4: Simplify right side
    61,996.32x = 17,451,518,935.19
  5. Step 5: Solve for x
    x = 17,451,518,935.19/61,996.32
  6. Step 6: Final answer
    x = 281,492.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.