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Finding the Third Proportional to 61,981 and 127,630

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Solution

The third proportional to 61,981 and 127,630 is: 262,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,981 : 127,630 = 127,630 : x
  2. Step 2: Convert to fraction form
    61,981/127,630 = 127,630/x
  3. Step 3: Cross multiply
    61,981x = 127,630 × 127,630
  4. Step 4: Simplify right side
    61,981x = 16,289,416,900
  5. Step 5: Solve for x
    x = 16,289,416,900/61,981
  6. Step 6: Final answer
    x = 262,813.07

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.