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Finding the Third Proportional to 269,230.50 and 418,047.75

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Solution

The third proportional to 269,230.50 and 418,047.75 is: 649,123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,230.50 : 418,047.75 = 418,047.75 : x
  2. Step 2: Convert to fraction form
    269,230.50/418,047.75 = 418,047.75/x
  3. Step 3: Cross multiply
    269,230.50x = 418,047.75 × 418,047.75
  4. Step 4: Simplify right side
    269,230.50x = 174,763,921,280.06
  5. Step 5: Solve for x
    x = 174,763,921,280.06/269,230.50
  6. Step 6: Final answer
    x = 649,123.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.