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Finding the Third Proportional to 136,590.68 and 206,791.10

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Solution

The third proportional to 136,590.68 and 206,791.10 is: 313,070.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,590.68 : 206,791.10 = 206,791.10 : x
  2. Step 2: Convert to fraction form
    136,590.68/206,791.10 = 206,791.10/x
  3. Step 3: Cross multiply
    136,590.68x = 206,791.10 × 206,791.10
  4. Step 4: Simplify right side
    136,590.68x = 42,762,559,685.43
  5. Step 5: Solve for x
    x = 42,762,559,685.43/136,590.68
  6. Step 6: Final answer
    x = 313,070.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.