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Finding the Third Proportional to 137,975 and 202,420

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Solution

The third proportional to 137,975 and 202,420 is: 296,965.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,975 : 202,420 = 202,420 : x
  2. Step 2: Convert to fraction form
    137,975/202,420 = 202,420/x
  3. Step 3: Cross multiply
    137,975x = 202,420 × 202,420
  4. Step 4: Simplify right side
    137,975x = 40,973,856,400
  5. Step 5: Solve for x
    x = 40,973,856,400/137,975
  6. Step 6: Final answer
    x = 296,965.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.