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Finding the Third Proportional to 69,139 and 149,350

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Solution

The third proportional to 69,139 and 149,350 is: 322,617.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,139 : 149,350 = 149,350 : x
  2. Step 2: Convert to fraction form
    69,139/149,350 = 149,350/x
  3. Step 3: Cross multiply
    69,139x = 149,350 × 149,350
  4. Step 4: Simplify right side
    69,139x = 22,305,422,500
  5. Step 5: Solve for x
    x = 22,305,422,500/69,139
  6. Step 6: Final answer
    x = 322,617.08

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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.