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Finding the Third Proportional to 68,344.50 and 147,921

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Solution

The third proportional to 68,344.50 and 147,921 is: 320,151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,344.50 : 147,921 = 147,921 : x
  2. Step 2: Convert to fraction form
    68,344.50/147,921 = 147,921/x
  3. Step 3: Cross multiply
    68,344.50x = 147,921 × 147,921
  4. Step 4: Simplify right side
    68,344.50x = 21,880,622,241
  5. Step 5: Solve for x
    x = 21,880,622,241/68,344.50
  6. Step 6: Final answer
    x = 320,151.91

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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.