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Finding the Third Proportional to 312,536 and 647,216

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Solution

The third proportional to 312,536 and 647,216 is: 1,340,288.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,536 : 647,216 = 647,216 : x
  2. Step 2: Convert to fraction form
    312,536/647,216 = 647,216/x
  3. Step 3: Cross multiply
    312,536x = 647,216 × 647,216
  4. Step 4: Simplify right side
    312,536x = 418,888,550,656
  5. Step 5: Solve for x
    x = 418,888,550,656/312,536
  6. Step 6: Final answer
    x = 1,340,288.96

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.