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Finding the Third Proportional to 512,154 and 679,617

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Solution

The third proportional to 512,154 and 679,617 is: 901,836.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,154 : 679,617 = 679,617 : x
  2. Step 2: Convert to fraction form
    512,154/679,617 = 679,617/x
  3. Step 3: Cross multiply
    512,154x = 679,617 × 679,617
  4. Step 4: Simplify right side
    512,154x = 461,879,266,689
  5. Step 5: Solve for x
    x = 461,879,266,689/512,154
  6. Step 6: Final answer
    x = 901,836.69

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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.