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Finding the Third Proportional to 311,709 and 676,554

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Solution

The third proportional to 311,709 and 676,554 is: 1,468,437.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,709 : 676,554 = 676,554 : x
  2. Step 2: Convert to fraction form
    311,709/676,554 = 676,554/x
  3. Step 3: Cross multiply
    311,709x = 676,554 × 676,554
  4. Step 4: Simplify right side
    311,709x = 457,725,314,916
  5. Step 5: Solve for x
    x = 457,725,314,916/311,709
  6. Step 6: Final answer
    x = 1,468,437.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.