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Finding the Third Proportional to 137,617 and 203,872

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Solution

The third proportional to 137,617 and 203,872 is: 302,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,617 : 203,872 = 203,872 : x
  2. Step 2: Convert to fraction form
    137,617/203,872 = 203,872/x
  3. Step 3: Cross multiply
    137,617x = 203,872 × 203,872
  4. Step 4: Simplify right side
    137,617x = 41,563,792,384
  5. Step 5: Solve for x
    x = 41,563,792,384/137,617
  6. Step 6: Final answer
    x = 302,025.13

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.