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Finding the Third Proportional to 10,686.94 and 21,966.19

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Solution

The third proportional to 10,686.94 and 21,966.19 is: 45,149.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.94 : 21,966.19 = 21,966.19 : x
  2. Step 2: Convert to fraction form
    10,686.94/21,966.19 = 21,966.19/x
  3. Step 3: Cross multiply
    10,686.94x = 21,966.19 × 21,966.19
  4. Step 4: Simplify right side
    10,686.94x = 482,513,393.29
  5. Step 5: Solve for x
    x = 482,513,393.29/10,686.94
  6. Step 6: Final answer
    x = 45,149.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.