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Finding the Third Proportional to 312,138 and 467,352

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Solution

The third proportional to 312,138 and 467,352 is: 699,747.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,138 : 467,352 = 467,352 : x
  2. Step 2: Convert to fraction form
    312,138/467,352 = 467,352/x
  3. Step 3: Cross multiply
    312,138x = 467,352 × 467,352
  4. Step 4: Simplify right side
    312,138x = 218,417,891,904
  5. Step 5: Solve for x
    x = 218,417,891,904/312,138
  6. Step 6: Final answer
    x = 699,747.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.