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Finding the Third Proportional to 68,617.13 and 144,717.89

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Solution

The third proportional to 68,617.13 and 144,717.89 is: 305,219.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,617.13 : 144,717.89 = 144,717.89 : x
  2. Step 2: Convert to fraction form
    68,617.13/144,717.89 = 144,717.89/x
  3. Step 3: Cross multiply
    68,617.13x = 144,717.89 × 144,717.89
  4. Step 4: Simplify right side
    68,617.13x = 20,943,267,866.95
  5. Step 5: Solve for x
    x = 20,943,267,866.95/68,617.13
  6. Step 6: Final answer
    x = 305,219.26

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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.