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Finding the Third Proportional to 136,842.19 and 217,911.38

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Solution

The third proportional to 136,842.19 and 217,911.38 is: 347,008.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,842.19 : 217,911.38 = 217,911.38 : x
  2. Step 2: Convert to fraction form
    136,842.19/217,911.38 = 217,911.38/x
  3. Step 3: Cross multiply
    136,842.19x = 217,911.38 × 217,911.38
  4. Step 4: Simplify right side
    136,842.19x = 47,485,367,354.39
  5. Step 5: Solve for x
    x = 47,485,367,354.39/136,842.19
  6. Step 6: Final answer
    x = 347,008.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.