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Finding the Third Proportional to 310,812.19 and 479,947.78

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Solution

The third proportional to 310,812.19 and 479,947.78 is: 741,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,812.19 : 479,947.78 = 479,947.78 : x
  2. Step 2: Convert to fraction form
    310,812.19/479,947.78 = 479,947.78/x
  3. Step 3: Cross multiply
    310,812.19x = 479,947.78 × 479,947.78
  4. Step 4: Simplify right side
    310,812.19x = 230,349,872,726.80
  5. Step 5: Solve for x
    x = 230,349,872,726.80/310,812.19
  6. Step 6: Final answer
    x = 741,122.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.