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Finding the Third Proportional to 61,456 and 129,091

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Solution

The third proportional to 61,456 and 129,091 is: 271,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,456 : 129,091 = 129,091 : x
  2. Step 2: Convert to fraction form
    61,456/129,091 = 129,091/x
  3. Step 3: Cross multiply
    61,456x = 129,091 × 129,091
  4. Step 4: Simplify right side
    61,456x = 16,664,486,281
  5. Step 5: Solve for x
    x = 16,664,486,281/61,456
  6. Step 6: Final answer
    x = 271,161.26

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.