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Finding the Third Proportional to 67,038 and 138,714

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Solution

The third proportional to 67,038 and 138,714 is: 287,024.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,038 : 138,714 = 138,714 : x
  2. Step 2: Convert to fraction form
    67,038/138,714 = 138,714/x
  3. Step 3: Cross multiply
    67,038x = 138,714 × 138,714
  4. Step 4: Simplify right side
    67,038x = 19,241,573,796
  5. Step 5: Solve for x
    x = 19,241,573,796/67,038
  6. Step 6: Final answer
    x = 287,024.88

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.