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Finding the Third Proportional to 69,505.59 and 149,832.28

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Solution

The third proportional to 69,505.59 and 149,832.28 is: 322,991.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,505.59 : 149,832.28 = 149,832.28 : x
  2. Step 2: Convert to fraction form
    69,505.59/149,832.28 = 149,832.28/x
  3. Step 3: Cross multiply
    69,505.59x = 149,832.28 × 149,832.28
  4. Step 4: Simplify right side
    69,505.59x = 22,449,712,504.58
  5. Step 5: Solve for x
    x = 22,449,712,504.58/69,505.59
  6. Step 6: Final answer
    x = 322,991.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.