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Finding the Third Proportional to 68,068.69 and 108,109.13

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Solution

The third proportional to 68,068.69 and 108,109.13 is: 171,702.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,068.69 : 108,109.13 = 108,109.13 : x
  2. Step 2: Convert to fraction form
    68,068.69/108,109.13 = 108,109.13/x
  3. Step 3: Cross multiply
    68,068.69x = 108,109.13 × 108,109.13
  4. Step 4: Simplify right side
    68,068.69x = 11,687,582,908.27
  5. Step 5: Solve for x
    x = 11,687,582,908.27/68,068.69
  6. Step 6: Final answer
    x = 171,702.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.