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Finding the Third Proportional to 69,748 and 151,086

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Solution

The third proportional to 69,748 and 151,086 is: 327,277.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,748 : 151,086 = 151,086 : x
  2. Step 2: Convert to fraction form
    69,748/151,086 = 151,086/x
  3. Step 3: Cross multiply
    69,748x = 151,086 × 151,086
  4. Step 4: Simplify right side
    69,748x = 22,826,979,396
  5. Step 5: Solve for x
    x = 22,826,979,396/69,748
  6. Step 6: Final answer
    x = 327,277.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.