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Finding the Third Proportional to 77,344 and 163,839.50

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Solution

The third proportional to 77,344 and 163,839.50 is: 347,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,344 : 163,839.50 = 163,839.50 : x
  2. Step 2: Convert to fraction form
    77,344/163,839.50 = 163,839.50/x
  3. Step 3: Cross multiply
    77,344x = 163,839.50 × 163,839.50
  4. Step 4: Simplify right side
    77,344x = 26,843,381,760.25
  5. Step 5: Solve for x
    x = 26,843,381,760.25/77,344
  6. Step 6: Final answer
    x = 347,064.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.