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Finding the Third Proportional to 392.34 and 857.53

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Solution

The third proportional to 392.34 and 857.53 is: 1,874.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.34 : 857.53 = 857.53 : x
  2. Step 2: Convert to fraction form
    392.34/857.53 = 857.53/x
  3. Step 3: Cross multiply
    392.34x = 857.53 × 857.53
  4. Step 4: Simplify right side
    392.34x = 735,359.84
  5. Step 5: Solve for x
    x = 735,359.84/392.34
  6. Step 6: Final answer
    x = 1,874.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.