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Finding the Third Proportional to 42,720 and 68,244

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Solution

The third proportional to 42,720 and 68,244 is: 109,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,720 : 68,244 = 68,244 : x
  2. Step 2: Convert to fraction form
    42,720/68,244 = 68,244/x
  3. Step 3: Cross multiply
    42,720x = 68,244 × 68,244
  4. Step 4: Simplify right side
    42,720x = 4,657,243,536
  5. Step 5: Solve for x
    x = 4,657,243,536/42,720
  6. Step 6: Final answer
    x = 109,017.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.