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Finding the Third Proportional to 9,254.25 and 13,866.19

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Solution

The third proportional to 9,254.25 and 13,866.19 is: 20,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.25 : 13,866.19 = 13,866.19 : x
  2. Step 2: Convert to fraction form
    9,254.25/13,866.19 = 13,866.19/x
  3. Step 3: Cross multiply
    9,254.25x = 13,866.19 × 13,866.19
  4. Step 4: Simplify right side
    9,254.25x = 192,271,155.79
  5. Step 5: Solve for x
    x = 192,271,155.79/9,254.25
  6. Step 6: Final answer
    x = 20,776.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.