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Finding the Third Proportional to 311,931 and 676,305

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Solution

The third proportional to 311,931 and 676,305 is: 1,466,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,931 : 676,305 = 676,305 : x
  2. Step 2: Convert to fraction form
    311,931/676,305 = 676,305/x
  3. Step 3: Cross multiply
    311,931x = 676,305 × 676,305
  4. Step 4: Simplify right side
    311,931x = 457,388,453,025
  5. Step 5: Solve for x
    x = 457,388,453,025/311,931
  6. Step 6: Final answer
    x = 1,466,312.91

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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.