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Finding the Third Proportional to 4,983.40 and 8,992.90

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Solution

The third proportional to 4,983.40 and 8,992.90 is: 16,228.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,983.40 : 8,992.90 = 8,992.90 : x
  2. Step 2: Convert to fraction form
    4,983.40/8,992.90 = 8,992.90/x
  3. Step 3: Cross multiply
    4,983.40x = 8,992.90 × 8,992.90
  4. Step 4: Simplify right side
    4,983.40x = 80,872,222.31
  5. Step 5: Solve for x
    x = 80,872,222.31/4,983.40
  6. Step 6: Final answer
    x = 16,228.33

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.