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Finding the Third Proportional to 68,070.38 and 149,578.88

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Solution

The third proportional to 68,070.38 and 149,578.88 is: 328,686.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,070.38 : 149,578.88 = 149,578.88 : x
  2. Step 2: Convert to fraction form
    68,070.38/149,578.88 = 149,578.88/x
  3. Step 3: Cross multiply
    68,070.38x = 149,578.88 × 149,578.88
  4. Step 4: Simplify right side
    68,070.38x = 22,373,839,846.27
  5. Step 5: Solve for x
    x = 22,373,839,846.27/68,070.38
  6. Step 6: Final answer
    x = 328,686.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.