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Finding the Third Proportional to 312,538 and 647,220

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Solution

The third proportional to 312,538 and 647,220 is: 1,340,296.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,538 : 647,220 = 647,220 : x
  2. Step 2: Convert to fraction form
    312,538/647,220 = 647,220/x
  3. Step 3: Cross multiply
    312,538x = 647,220 × 647,220
  4. Step 4: Simplify right side
    312,538x = 418,893,728,400
  5. Step 5: Solve for x
    x = 418,893,728,400/312,538
  6. Step 6: Final answer
    x = 1,340,296.95

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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.