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Finding the Third Proportional to 77,742.75 and 169,539

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Solution

The third proportional to 77,742.75 and 169,539 is: 369,725.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,742.75 : 169,539 = 169,539 : x
  2. Step 2: Convert to fraction form
    77,742.75/169,539 = 169,539/x
  3. Step 3: Cross multiply
    77,742.75x = 169,539 × 169,539
  4. Step 4: Simplify right side
    77,742.75x = 28,743,472,521
  5. Step 5: Solve for x
    x = 28,743,472,521/77,742.75
  6. Step 6: Final answer
    x = 369,725.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.