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Finding the Third Proportional to 68,259 and 147,616.50

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Solution

The third proportional to 68,259 and 147,616.50 is: 319,234.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,259 : 147,616.50 = 147,616.50 : x
  2. Step 2: Convert to fraction form
    68,259/147,616.50 = 147,616.50/x
  3. Step 3: Cross multiply
    68,259x = 147,616.50 × 147,616.50
  4. Step 4: Simplify right side
    68,259x = 21,790,631,072.25
  5. Step 5: Solve for x
    x = 21,790,631,072.25/68,259
  6. Step 6: Final answer
    x = 319,234.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.