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Finding the Third Proportional to 68,618 and 77,844.50

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Solution

The third proportional to 68,618 and 77,844.50 is: 88,311.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,618 : 77,844.50 = 77,844.50 : x
  2. Step 2: Convert to fraction form
    68,618/77,844.50 = 77,844.50/x
  3. Step 3: Cross multiply
    68,618x = 77,844.50 × 77,844.50
  4. Step 4: Simplify right side
    68,618x = 6,059,766,180.25
  5. Step 5: Solve for x
    x = 6,059,766,180.25/68,618
  6. Step 6: Final answer
    x = 88,311.61

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.