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Finding the Third Proportional to 10,685.25 and 22,054.50

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Solution

The third proportional to 10,685.25 and 22,054.50 is: 45,520.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.25 : 22,054.50 = 22,054.50 : x
  2. Step 2: Convert to fraction form
    10,685.25/22,054.50 = 22,054.50/x
  3. Step 3: Cross multiply
    10,685.25x = 22,054.50 × 22,054.50
  4. Step 4: Simplify right side
    10,685.25x = 486,400,970.25
  5. Step 5: Solve for x
    x = 486,400,970.25/10,685.25
  6. Step 6: Final answer
    x = 45,520.79

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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.