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Finding the Third Proportional to 131,974 and 290,190

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Solution

The third proportional to 131,974 and 290,190 is: 638,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,974 : 290,190 = 290,190 : x
  2. Step 2: Convert to fraction form
    131,974/290,190 = 290,190/x
  3. Step 3: Cross multiply
    131,974x = 290,190 × 290,190
  4. Step 4: Simplify right side
    131,974x = 84,210,236,100
  5. Step 5: Solve for x
    x = 84,210,236,100/131,974
  6. Step 6: Final answer
    x = 638,082.02

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.