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Finding the Third Proportional to 20,448 and 21,854.25

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Solution

The third proportional to 20,448 and 21,854.25 is: 23,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,448 : 21,854.25 = 21,854.25 : x
  2. Step 2: Convert to fraction form
    20,448/21,854.25 = 21,854.25/x
  3. Step 3: Cross multiply
    20,448x = 21,854.25 × 21,854.25
  4. Step 4: Simplify right side
    20,448x = 477,608,243.06
  5. Step 5: Solve for x
    x = 477,608,243.06/20,448
  6. Step 6: Final answer
    x = 23,357.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.