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Finding the Third Proportional to 67,981 and 159,953

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Solution

The third proportional to 67,981 and 159,953 is: 376,354.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,981 : 159,953 = 159,953 : x
  2. Step 2: Convert to fraction form
    67,981/159,953 = 159,953/x
  3. Step 3: Cross multiply
    67,981x = 159,953 × 159,953
  4. Step 4: Simplify right side
    67,981x = 25,584,962,209
  5. Step 5: Solve for x
    x = 25,584,962,209/67,981
  6. Step 6: Final answer
    x = 376,354.60

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.