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Finding the Third Proportional to 512,156 and 679,620

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Solution

The third proportional to 512,156 and 679,620 is: 901,841.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,156 : 679,620 = 679,620 : x
  2. Step 2: Convert to fraction form
    512,156/679,620 = 679,620/x
  3. Step 3: Cross multiply
    512,156x = 679,620 × 679,620
  4. Step 4: Simplify right side
    512,156x = 461,883,344,400
  5. Step 5: Solve for x
    x = 461,883,344,400/512,156
  6. Step 6: Final answer
    x = 901,841.13

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.