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Finding the Third Proportional to 137,640.75 and 212,734.13

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Solution

The third proportional to 137,640.75 and 212,734.13 is: 328,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640.75 : 212,734.13 = 212,734.13 : x
  2. Step 2: Convert to fraction form
    137,640.75/212,734.13 = 212,734.13/x
  3. Step 3: Cross multiply
    137,640.75x = 212,734.13 × 212,734.13
  4. Step 4: Simplify right side
    137,640.75x = 45,255,807,939.52
  5. Step 5: Solve for x
    x = 45,255,807,939.52/137,640.75
  6. Step 6: Final answer
    x = 328,796.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.