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Finding the Third Proportional to 69,348 and 141,982

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Solution

The third proportional to 69,348 and 141,982 is: 290,691.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,348 : 141,982 = 141,982 : x
  2. Step 2: Convert to fraction form
    69,348/141,982 = 141,982/x
  3. Step 3: Cross multiply
    69,348x = 141,982 × 141,982
  4. Step 4: Simplify right side
    69,348x = 20,158,888,324
  5. Step 5: Solve for x
    x = 20,158,888,324/69,348
  6. Step 6: Final answer
    x = 290,691.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.