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Finding the Third Proportional to 69,415.31 and 147,589.17

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Solution

The third proportional to 69,415.31 and 147,589.17 is: 313,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,415.31 : 147,589.17 = 147,589.17 : x
  2. Step 2: Convert to fraction form
    69,415.31/147,589.17 = 147,589.17/x
  3. Step 3: Cross multiply
    69,415.31x = 147,589.17 × 147,589.17
  4. Step 4: Simplify right side
    69,415.31x = 21,782,563,654.75
  5. Step 5: Solve for x
    x = 21,782,563,654.75/69,415.31
  6. Step 6: Final answer
    x = 313,800.56

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.