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Finding the Third Proportional to 312,381 and 467,235

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Solution

The third proportional to 312,381 and 467,235 is: 698,853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,381 : 467,235 = 467,235 : x
  2. Step 2: Convert to fraction form
    312,381/467,235 = 467,235/x
  3. Step 3: Cross multiply
    312,381x = 467,235 × 467,235
  4. Step 4: Simplify right side
    312,381x = 218,308,545,225
  5. Step 5: Solve for x
    x = 218,308,545,225/312,381
  6. Step 6: Final answer
    x = 698,853.47

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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.