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Finding the Third Proportional to 137,449.25 and 212,824.57

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Solution

The third proportional to 137,449.25 and 212,824.57 is: 329,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,449.25 : 212,824.57 = 212,824.57 : x
  2. Step 2: Convert to fraction form
    137,449.25/212,824.57 = 212,824.57/x
  3. Step 3: Cross multiply
    137,449.25x = 212,824.57 × 212,824.57
  4. Step 4: Simplify right side
    137,449.25x = 45,294,298,975.72
  5. Step 5: Solve for x
    x = 45,294,298,975.72/137,449.25
  6. Step 6: Final answer
    x = 329,534.72

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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.