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Finding the Third Proportional to 68,677.88 and 144,858.38

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Solution

The third proportional to 68,677.88 and 144,858.38 is: 305,541.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,677.88 : 144,858.38 = 144,858.38 : x
  2. Step 2: Convert to fraction form
    68,677.88/144,858.38 = 144,858.38/x
  3. Step 3: Cross multiply
    68,677.88x = 144,858.38 × 144,858.38
  4. Step 4: Simplify right side
    68,677.88x = 20,983,948,807.64
  5. Step 5: Solve for x
    x = 20,983,948,807.64/68,677.88
  6. Step 6: Final answer
    x = 305,541.61

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.