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Finding the Third Proportional to 311,288 and 462,396

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Solution

The third proportional to 311,288 and 462,396 is: 686,856.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,288 : 462,396 = 462,396 : x
  2. Step 2: Convert to fraction form
    311,288/462,396 = 462,396/x
  3. Step 3: Cross multiply
    311,288x = 462,396 × 462,396
  4. Step 4: Simplify right side
    311,288x = 213,810,060,816
  5. Step 5: Solve for x
    x = 213,810,060,816/311,288
  6. Step 6: Final answer
    x = 686,856.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.