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Finding the Third Proportional to 81,355.64 and 175,199.20

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Solution

The third proportional to 81,355.64 and 175,199.20 is: 377,291.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,355.64 : 175,199.20 = 175,199.20 : x
  2. Step 2: Convert to fraction form
    81,355.64/175,199.20 = 175,199.20/x
  3. Step 3: Cross multiply
    81,355.64x = 175,199.20 × 175,199.20
  4. Step 4: Simplify right side
    81,355.64x = 30,694,760,775.64
  5. Step 5: Solve for x
    x = 30,694,760,775.64/81,355.64
  6. Step 6: Final answer
    x = 377,291.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.