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Finding the Third Proportional to 311,715.84 and 671,517.21

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Solution

The third proportional to 311,715.84 and 671,517.21 is: 1,446,623.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,715.84 : 671,517.21 = 671,517.21 : x
  2. Step 2: Convert to fraction form
    311,715.84/671,517.21 = 671,517.21/x
  3. Step 3: Cross multiply
    311,715.84x = 671,517.21 × 671,517.21
  4. Step 4: Simplify right side
    311,715.84x = 450,935,364,585.28
  5. Step 5: Solve for x
    x = 450,935,364,585.28/311,715.84
  6. Step 6: Final answer
    x = 1,446,623.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.