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Finding the Third Proportional to 304,224.75 and 440,640.56

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Solution

The third proportional to 304,224.75 and 440,640.56 is: 638,225.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,224.75 : 440,640.56 = 440,640.56 : x
  2. Step 2: Convert to fraction form
    304,224.75/440,640.56 = 440,640.56/x
  3. Step 3: Cross multiply
    304,224.75x = 440,640.56 × 440,640.56
  4. Step 4: Simplify right side
    304,224.75x = 194,164,105,320.32
  5. Step 5: Solve for x
    x = 194,164,105,320.32/304,224.75
  6. Step 6: Final answer
    x = 638,225.87

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.