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Finding the Third Proportional to 69,398.50 and 149,321

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Solution

The third proportional to 69,398.50 and 149,321 is: 321,285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,398.50 : 149,321 = 149,321 : x
  2. Step 2: Convert to fraction form
    69,398.50/149,321 = 149,321/x
  3. Step 3: Cross multiply
    69,398.50x = 149,321 × 149,321
  4. Step 4: Simplify right side
    69,398.50x = 22,296,761,041
  5. Step 5: Solve for x
    x = 22,296,761,041/69,398.50
  6. Step 6: Final answer
    x = 321,285.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.