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Finding the Third Proportional to 310,853.25 and 494,304.56

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Solution

The third proportional to 310,853.25 and 494,304.56 is: 786,020.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,853.25 : 494,304.56 = 494,304.56 : x
  2. Step 2: Convert to fraction form
    310,853.25/494,304.56 = 494,304.56/x
  3. Step 3: Cross multiply
    310,853.25x = 494,304.56 × 494,304.56
  4. Step 4: Simplify right side
    310,853.25x = 244,337,000,508.32
  5. Step 5: Solve for x
    x = 244,337,000,508.32/310,853.25
  6. Step 6: Final answer
    x = 786,020.41

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.