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Finding the Third Proportional to 178,530.96 and 420,724.13

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Solution

The third proportional to 178,530.96 and 420,724.13 is: 991,473.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,530.96 : 420,724.13 = 420,724.13 : x
  2. Step 2: Convert to fraction form
    178,530.96/420,724.13 = 420,724.13/x
  3. Step 3: Cross multiply
    178,530.96x = 420,724.13 × 420,724.13
  4. Step 4: Simplify right side
    178,530.96x = 177,008,789,357.02
  5. Step 5: Solve for x
    x = 177,008,789,357.02/178,530.96
  6. Step 6: Final answer
    x = 991,473.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.