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Finding the Third Proportional to 28,384.31 and 66,909.56

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Solution

The third proportional to 28,384.31 and 66,909.56 is: 157,724.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,384.31 : 66,909.56 = 66,909.56 : x
  2. Step 2: Convert to fraction form
    28,384.31/66,909.56 = 66,909.56/x
  3. Step 3: Cross multiply
    28,384.31x = 66,909.56 × 66,909.56
  4. Step 4: Simplify right side
    28,384.31x = 4,476,889,553.94
  5. Step 5: Solve for x
    x = 4,476,889,553.94/28,384.31
  6. Step 6: Final answer
    x = 157,724.08

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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.