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Finding the Third Proportional to 137,993 and 207,674

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Solution

The third proportional to 137,993 and 207,674 is: 312,541.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,993 : 207,674 = 207,674 : x
  2. Step 2: Convert to fraction form
    137,993/207,674 = 207,674/x
  3. Step 3: Cross multiply
    137,993x = 207,674 × 207,674
  4. Step 4: Simplify right side
    137,993x = 43,128,490,276
  5. Step 5: Solve for x
    x = 43,128,490,276/137,993
  6. Step 6: Final answer
    x = 312,541.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.