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Finding the Third Proportional to 99,288.28 and 215,787.80

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Solution

The third proportional to 99,288.28 and 215,787.80 is: 468,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,288.28 : 215,787.80 = 215,787.80 : x
  2. Step 2: Convert to fraction form
    99,288.28/215,787.80 = 215,787.80/x
  3. Step 3: Cross multiply
    99,288.28x = 215,787.80 × 215,787.80
  4. Step 4: Simplify right side
    99,288.28x = 46,564,373,280.17
  5. Step 5: Solve for x
    x = 46,564,373,280.17/99,288.28
  6. Step 6: Final answer
    x = 468,981.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.