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Finding the Third Proportional to 61,981 and 134,264

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Solution

The third proportional to 61,981 and 134,264 is: 290,844.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,981 : 134,264 = 134,264 : x
  2. Step 2: Convert to fraction form
    61,981/134,264 = 134,264/x
  3. Step 3: Cross multiply
    61,981x = 134,264 × 134,264
  4. Step 4: Simplify right side
    61,981x = 18,026,821,696
  5. Step 5: Solve for x
    x = 18,026,821,696/61,981
  6. Step 6: Final answer
    x = 290,844.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.