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Finding the Third Proportional to 20,583 and 22,020.75

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Solution

The third proportional to 20,583 and 22,020.75 is: 23,558.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,583 : 22,020.75 = 22,020.75 : x
  2. Step 2: Convert to fraction form
    20,583/22,020.75 = 22,020.75/x
  3. Step 3: Cross multiply
    20,583x = 22,020.75 × 22,020.75
  4. Step 4: Simplify right side
    20,583x = 484,913,430.56
  5. Step 5: Solve for x
    x = 484,913,430.56/20,583
  6. Step 6: Final answer
    x = 23,558.93

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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.