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Finding the Third Proportional to 457,098 and 685,215

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Solution

The third proportional to 457,098 and 685,215 is: 1,027,174.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,098 : 685,215 = 685,215 : x
  2. Step 2: Convert to fraction form
    457,098/685,215 = 685,215/x
  3. Step 3: Cross multiply
    457,098x = 685,215 × 685,215
  4. Step 4: Simplify right side
    457,098x = 469,519,596,225
  5. Step 5: Solve for x
    x = 469,519,596,225/457,098
  6. Step 6: Final answer
    x = 1,027,174.91

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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.