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Finding the Third Proportional to 313,812 and 480,142

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Solution

The third proportional to 313,812 and 480,142 is: 734,632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,812 : 480,142 = 480,142 : x
  2. Step 2: Convert to fraction form
    313,812/480,142 = 480,142/x
  3. Step 3: Cross multiply
    313,812x = 480,142 × 480,142
  4. Step 4: Simplify right side
    313,812x = 230,536,340,164
  5. Step 5: Solve for x
    x = 230,536,340,164/313,812
  6. Step 6: Final answer
    x = 734,632.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.