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Finding the Third Proportional to 3,471 and 4,710.75

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Solution

The third proportional to 3,471 and 4,710.75 is: 6,393.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471 : 4,710.75 = 4,710.75 : x
  2. Step 2: Convert to fraction form
    3,471/4,710.75 = 4,710.75/x
  3. Step 3: Cross multiply
    3,471x = 4,710.75 × 4,710.75
  4. Step 4: Simplify right side
    3,471x = 22,191,165.56
  5. Step 5: Solve for x
    x = 22,191,165.56/3,471
  6. Step 6: Final answer
    x = 6,393.31

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.