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Finding the Third Proportional to 61,990 and 127,247

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Solution

The third proportional to 61,990 and 127,247 is: 261,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,990 : 127,247 = 127,247 : x
  2. Step 2: Convert to fraction form
    61,990/127,247 = 127,247/x
  3. Step 3: Cross multiply
    61,990x = 127,247 × 127,247
  4. Step 4: Simplify right side
    61,990x = 16,191,799,009
  5. Step 5: Solve for x
    x = 16,191,799,009/61,990
  6. Step 6: Final answer
    x = 261,200.18

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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.