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Finding the Third Proportional to 68,386.50 and 142,207.88

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Solution

The third proportional to 68,386.50 and 142,207.88 is: 295,717.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,386.50 : 142,207.88 = 142,207.88 : x
  2. Step 2: Convert to fraction form
    68,386.50/142,207.88 = 142,207.88/x
  3. Step 3: Cross multiply
    68,386.50x = 142,207.88 × 142,207.88
  4. Step 4: Simplify right side
    68,386.50x = 20,223,079,712.02
  5. Step 5: Solve for x
    x = 20,223,079,712.02/68,386.50
  6. Step 6: Final answer
    x = 295,717.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.