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Finding the Third Proportional to 69,710 and 149,539

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Solution

The third proportional to 69,710 and 149,539 is: 320,784.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,710 : 149,539 = 149,539 : x
  2. Step 2: Convert to fraction form
    69,710/149,539 = 149,539/x
  3. Step 3: Cross multiply
    69,710x = 149,539 × 149,539
  4. Step 4: Simplify right side
    69,710x = 22,361,912,521
  5. Step 5: Solve for x
    x = 22,361,912,521/69,710
  6. Step 6: Final answer
    x = 320,784.86

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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.