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Finding the Third Proportional to 69,432.75 and 149,656.50

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Solution

The third proportional to 69,432.75 and 149,656.50 is: 322,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,432.75 : 149,656.50 = 149,656.50 : x
  2. Step 2: Convert to fraction form
    69,432.75/149,656.50 = 149,656.50/x
  3. Step 3: Cross multiply
    69,432.75x = 149,656.50 × 149,656.50
  4. Step 4: Simplify right side
    69,432.75x = 22,397,067,992.25
  5. Step 5: Solve for x
    x = 22,397,067,992.25/69,432.75
  6. Step 6: Final answer
    x = 322,572.10

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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.