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Finding the Third Proportional to 8,292.38 and 12,840.19

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Solution

The third proportional to 8,292.38 and 12,840.19 is: 19,882.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,292.38 : 12,840.19 = 12,840.19 : x
  2. Step 2: Convert to fraction form
    8,292.38/12,840.19 = 12,840.19/x
  3. Step 3: Cross multiply
    8,292.38x = 12,840.19 × 12,840.19
  4. Step 4: Simplify right side
    8,292.38x = 164,870,415.04
  5. Step 5: Solve for x
    x = 164,870,415.04/8,292.38
  6. Step 6: Final answer
    x = 19,882.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.