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Finding the Third Proportional to 89,439.19 and 206,887.92

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Solution

The third proportional to 89,439.19 and 206,887.92 is: 478,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,439.19 : 206,887.92 = 206,887.92 : x
  2. Step 2: Convert to fraction form
    89,439.19/206,887.92 = 206,887.92/x
  3. Step 3: Cross multiply
    89,439.19x = 206,887.92 × 206,887.92
  4. Step 4: Simplify right side
    89,439.19x = 42,802,612,217.76
  5. Step 5: Solve for x
    x = 42,802,612,217.76/89,439.19
  6. Step 6: Final answer
    x = 478,566.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.