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Finding the Third Proportional to 4,642.31 and 7,479.84

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Solution

The third proportional to 4,642.31 and 7,479.84 is: 12,051.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.31 : 7,479.84 = 7,479.84 : x
  2. Step 2: Convert to fraction form
    4,642.31/7,479.84 = 7,479.84/x
  3. Step 3: Cross multiply
    4,642.31x = 7,479.84 × 7,479.84
  4. Step 4: Simplify right side
    4,642.31x = 55,948,062.52
  5. Step 5: Solve for x
    x = 55,948,062.52/4,642.31
  6. Step 6: Final answer
    x = 12,051.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.