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Finding the Third Proportional to 311,700 and 676,536

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Solution

The third proportional to 311,700 and 676,536 is: 1,468,402.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,700 : 676,536 = 676,536 : x
  2. Step 2: Convert to fraction form
    311,700/676,536 = 676,536/x
  3. Step 3: Cross multiply
    311,700x = 676,536 × 676,536
  4. Step 4: Simplify right side
    311,700x = 457,700,959,296
  5. Step 5: Solve for x
    x = 457,700,959,296/311,700
  6. Step 6: Final answer
    x = 1,468,402.18

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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.