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Finding the Third Proportional to 141,915 and 218,199

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Solution

The third proportional to 141,915 and 218,199 is: 335,488.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,915 : 218,199 = 218,199 : x
  2. Step 2: Convert to fraction form
    141,915/218,199 = 218,199/x
  3. Step 3: Cross multiply
    141,915x = 218,199 × 218,199
  4. Step 4: Simplify right side
    141,915x = 47,610,803,601
  5. Step 5: Solve for x
    x = 47,610,803,601/141,915
  6. Step 6: Final answer
    x = 335,488.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.