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Finding the Third Proportional to 135,969 and 218,897

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Solution

The third proportional to 135,969 and 218,897 is: 352,403.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,969 : 218,897 = 218,897 : x
  2. Step 2: Convert to fraction form
    135,969/218,897 = 218,897/x
  3. Step 3: Cross multiply
    135,969x = 218,897 × 218,897
  4. Step 4: Simplify right side
    135,969x = 47,915,896,609
  5. Step 5: Solve for x
    x = 47,915,896,609/135,969
  6. Step 6: Final answer
    x = 352,403.10

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.