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Finding the Third Proportional to 312,481.50 and 669,246

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Solution

The third proportional to 312,481.50 and 669,246 is: 1,433,333.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,481.50 : 669,246 = 669,246 : x
  2. Step 2: Convert to fraction form
    312,481.50/669,246 = 669,246/x
  3. Step 3: Cross multiply
    312,481.50x = 669,246 × 669,246
  4. Step 4: Simplify right side
    312,481.50x = 447,890,208,516
  5. Step 5: Solve for x
    x = 447,890,208,516/312,481.50
  6. Step 6: Final answer
    x = 1,433,333.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.