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Finding the Third Proportional to 310,831.50 and 481,419

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Solution

The third proportional to 310,831.50 and 481,419 is: 745,626.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,831.50 : 481,419 = 481,419 : x
  2. Step 2: Convert to fraction form
    310,831.50/481,419 = 481,419/x
  3. Step 3: Cross multiply
    310,831.50x = 481,419 × 481,419
  4. Step 4: Simplify right side
    310,831.50x = 231,764,253,561
  5. Step 5: Solve for x
    x = 231,764,253,561/310,831.50
  6. Step 6: Final answer
    x = 745,626.66

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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.