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Finding the Third Proportional to 137,127 and 218,974

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Solution

The third proportional to 137,127 and 218,974 is: 349,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,127 : 218,974 = 218,974 : x
  2. Step 2: Convert to fraction form
    137,127/218,974 = 218,974/x
  3. Step 3: Cross multiply
    137,127x = 218,974 × 218,974
  4. Step 4: Simplify right side
    137,127x = 47,949,612,676
  5. Step 5: Solve for x
    x = 47,949,612,676/137,127
  6. Step 6: Final answer
    x = 349,673.02

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.