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Finding the Third Proportional to 10,686.84 and 18,336.84

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Solution

The third proportional to 10,686.84 and 18,336.84 is: 31,462.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,686.84 : 18,336.84 = 18,336.84 : x
  2. Step 2: Convert to fraction form
    10,686.84/18,336.84 = 18,336.84/x
  3. Step 3: Cross multiply
    10,686.84x = 18,336.84 × 18,336.84
  4. Step 4: Simplify right side
    10,686.84x = 336,239,838.71
  5. Step 5: Solve for x
    x = 336,239,838.71/10,686.84
  6. Step 6: Final answer
    x = 31,462.97

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.