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Finding the Third Proportional to 69,585 and 155,107

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Solution

The third proportional to 69,585 and 155,107 is: 345,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,585 : 155,107 = 155,107 : x
  2. Step 2: Convert to fraction form
    69,585/155,107 = 155,107/x
  3. Step 3: Cross multiply
    69,585x = 155,107 × 155,107
  4. Step 4: Simplify right side
    69,585x = 24,058,181,449
  5. Step 5: Solve for x
    x = 24,058,181,449/69,585
  6. Step 6: Final answer
    x = 345,738.04

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.