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Finding the Third Proportional to 311,161.50 and 480,565.13

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Solution

The third proportional to 311,161.50 and 480,565.13 is: 742,196.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,161.50 : 480,565.13 = 480,565.13 : x
  2. Step 2: Convert to fraction form
    311,161.50/480,565.13 = 480,565.13/x
  3. Step 3: Cross multiply
    311,161.50x = 480,565.13 × 480,565.13
  4. Step 4: Simplify right side
    311,161.50x = 230,942,839,366.27
  5. Step 5: Solve for x
    x = 230,942,839,366.27/311,161.50
  6. Step 6: Final answer
    x = 742,196.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.