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Finding the Third Proportional to 311,584 and 675,656

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Solution

The third proportional to 311,584 and 675,656 is: 1,465,129.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,584 : 675,656 = 675,656 : x
  2. Step 2: Convert to fraction form
    311,584/675,656 = 675,656/x
  3. Step 3: Cross multiply
    311,584x = 675,656 × 675,656
  4. Step 4: Simplify right side
    311,584x = 456,511,030,336
  5. Step 5: Solve for x
    x = 456,511,030,336/311,584
  6. Step 6: Final answer
    x = 1,465,129.89

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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.