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Finding the Third Proportional to 137,980 and 202,427

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Solution

The third proportional to 137,980 and 202,427 is: 296,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980 : 202,427 = 202,427 : x
  2. Step 2: Convert to fraction form
    137,980/202,427 = 202,427/x
  3. Step 3: Cross multiply
    137,980x = 202,427 × 202,427
  4. Step 4: Simplify right side
    137,980x = 40,976,690,329
  5. Step 5: Solve for x
    x = 40,976,690,329/137,980
  6. Step 6: Final answer
    x = 296,975.58

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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.