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Finding the Third Proportional to 457,108 and 685,228

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Solution

The third proportional to 457,108 and 685,228 is: 1,027,191.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,108 : 685,228 = 685,228 : x
  2. Step 2: Convert to fraction form
    457,108/685,228 = 685,228/x
  3. Step 3: Cross multiply
    457,108x = 685,228 × 685,228
  4. Step 4: Simplify right side
    457,108x = 469,537,411,984
  5. Step 5: Solve for x
    x = 469,537,411,984/457,108
  6. Step 6: Final answer
    x = 1,027,191.41

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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.