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Finding the Third Proportional to 137,719 and 291,974

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Solution

The third proportional to 137,719 and 291,974 is: 619,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,719 : 291,974 = 291,974 : x
  2. Step 2: Convert to fraction form
    137,719/291,974 = 291,974/x
  3. Step 3: Cross multiply
    137,719x = 291,974 × 291,974
  4. Step 4: Simplify right side
    137,719x = 85,248,816,676
  5. Step 5: Solve for x
    x = 85,248,816,676/137,719
  6. Step 6: Final answer
    x = 619,005.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.