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Finding the Third Proportional to 61,620 and 126,159

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Solution

The third proportional to 61,620 and 126,159 is: 258,294.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,620 : 126,159 = 126,159 : x
  2. Step 2: Convert to fraction form
    61,620/126,159 = 126,159/x
  3. Step 3: Cross multiply
    61,620x = 126,159 × 126,159
  4. Step 4: Simplify right side
    61,620x = 15,916,093,281
  5. Step 5: Solve for x
    x = 15,916,093,281/61,620
  6. Step 6: Final answer
    x = 258,294.28

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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.