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Finding the Third Proportional to 66,034 and 137,540

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Solution

The third proportional to 66,034 and 137,540 is: 286,477.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,034 : 137,540 = 137,540 : x
  2. Step 2: Convert to fraction form
    66,034/137,540 = 137,540/x
  3. Step 3: Cross multiply
    66,034x = 137,540 × 137,540
  4. Step 4: Simplify right side
    66,034x = 18,917,251,600
  5. Step 5: Solve for x
    x = 18,917,251,600/66,034
  6. Step 6: Final answer
    x = 286,477.44

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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.