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Finding the Third Proportional to 20,143.69 and 21,966.19

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Solution

The third proportional to 20,143.69 and 21,966.19 is: 23,953.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,143.69 : 21,966.19 = 21,966.19 : x
  2. Step 2: Convert to fraction form
    20,143.69/21,966.19 = 21,966.19/x
  3. Step 3: Cross multiply
    20,143.69x = 21,966.19 × 21,966.19
  4. Step 4: Simplify right side
    20,143.69x = 482,513,393.29
  5. Step 5: Solve for x
    x = 482,513,393.29/20,143.69
  6. Step 6: Final answer
    x = 23,953.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.