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Finding the Third Proportional to 69,384 and 149,289

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Solution

The third proportional to 69,384 and 149,289 is: 321,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,384 : 149,289 = 149,289 : x
  2. Step 2: Convert to fraction form
    69,384/149,289 = 149,289/x
  3. Step 3: Cross multiply
    69,384x = 149,289 × 149,289
  4. Step 4: Simplify right side
    69,384x = 22,287,205,521
  5. Step 5: Solve for x
    x = 22,287,205,521/69,384
  6. Step 6: Final answer
    x = 321,215.35

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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.