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Finding the Third Proportional to 42,714 and 68,235

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Solution

The third proportional to 42,714 and 68,235 is: 109,004.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,714 : 68,235 = 68,235 : x
  2. Step 2: Convert to fraction form
    42,714/68,235 = 68,235/x
  3. Step 3: Cross multiply
    42,714x = 68,235 × 68,235
  4. Step 4: Simplify right side
    42,714x = 4,656,015,225
  5. Step 5: Solve for x
    x = 4,656,015,225/42,714
  6. Step 6: Final answer
    x = 109,004.43

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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.