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Finding the Third Proportional to 3,062.81 and 4,852.41

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Solution

The third proportional to 3,062.81 and 4,852.41 is: 7,687.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,062.81 : 4,852.41 = 4,852.41 : x
  2. Step 2: Convert to fraction form
    3,062.81/4,852.41 = 4,852.41/x
  3. Step 3: Cross multiply
    3,062.81x = 4,852.41 × 4,852.41
  4. Step 4: Simplify right side
    3,062.81x = 23,545,846.42
  5. Step 5: Solve for x
    x = 23,545,846.42/3,062.81
  6. Step 6: Final answer
    x = 7,687.66

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.