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Finding the Third Proportional to 309,724.50 and 454,350.75

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Solution

The third proportional to 309,724.50 and 454,350.75 is: 666,510.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,724.50 : 454,350.75 = 454,350.75 : x
  2. Step 2: Convert to fraction form
    309,724.50/454,350.75 = 454,350.75/x
  3. Step 3: Cross multiply
    309,724.50x = 454,350.75 × 454,350.75
  4. Step 4: Simplify right side
    309,724.50x = 206,434,604,025.56
  5. Step 5: Solve for x
    x = 206,434,604,025.56/309,724.50
  6. Step 6: Final answer
    x = 666,510.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.