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Finding the Third Proportional to 312,767 and 517,677

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Solution

The third proportional to 312,767 and 517,677 is: 856,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,767 : 517,677 = 517,677 : x
  2. Step 2: Convert to fraction form
    312,767/517,677 = 517,677/x
  3. Step 3: Cross multiply
    312,767x = 517,677 × 517,677
  4. Step 4: Simplify right side
    312,767x = 267,989,476,329
  5. Step 5: Solve for x
    x = 267,989,476,329/312,767
  6. Step 6: Final answer
    x = 856,834.25

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.