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Finding the Third Proportional to 310,351.50 and 664,983

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Solution

The third proportional to 310,351.50 and 664,983 is: 1,424,843.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,351.50 : 664,983 = 664,983 : x
  2. Step 2: Convert to fraction form
    310,351.50/664,983 = 664,983/x
  3. Step 3: Cross multiply
    310,351.50x = 664,983 × 664,983
  4. Step 4: Simplify right side
    310,351.50x = 442,202,390,289
  5. Step 5: Solve for x
    x = 442,202,390,289/310,351.50
  6. Step 6: Final answer
    x = 1,424,843.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.