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Finding the Third Proportional to 136,311.75 and 206,920.13

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Solution

The third proportional to 136,311.75 and 206,920.13 is: 314,103.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,311.75 : 206,920.13 = 206,920.13 : x
  2. Step 2: Convert to fraction form
    136,311.75/206,920.13 = 206,920.13/x
  3. Step 3: Cross multiply
    136,311.75x = 206,920.13 × 206,920.13
  4. Step 4: Simplify right side
    136,311.75x = 42,815,938,130.02
  5. Step 5: Solve for x
    x = 42,815,938,130.02/136,311.75
  6. Step 6: Final answer
    x = 314,103.06

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.