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Finding the Third Proportional to 311,314.13 and 455,869.13

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Solution

The third proportional to 311,314.13 and 455,869.13 is: 667,546.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,314.13 : 455,869.13 = 455,869.13 : x
  2. Step 2: Convert to fraction form
    311,314.13/455,869.13 = 455,869.13/x
  3. Step 3: Cross multiply
    311,314.13x = 455,869.13 × 455,869.13
  4. Step 4: Simplify right side
    311,314.13x = 207,816,659,128.27
  5. Step 5: Solve for x
    x = 207,816,659,128.27/311,314.13
  6. Step 6: Final answer
    x = 667,546.51

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.