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Finding the Third Proportional to 61,971 and 127,209

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Solution

The third proportional to 61,971 and 127,209 is: 261,124.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,971 : 127,209 = 127,209 : x
  2. Step 2: Convert to fraction form
    61,971/127,209 = 127,209/x
  3. Step 3: Cross multiply
    61,971x = 127,209 × 127,209
  4. Step 4: Simplify right side
    61,971x = 16,182,129,681
  5. Step 5: Solve for x
    x = 16,182,129,681/61,971
  6. Step 6: Final answer
    x = 261,124.23

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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.