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Finding the Third Proportional to 9,280 and 20,562

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Solution

The third proportional to 9,280 and 20,562 is: 45,559.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280 : 20,562 = 20,562 : x
  2. Step 2: Convert to fraction form
    9,280/20,562 = 20,562/x
  3. Step 3: Cross multiply
    9,280x = 20,562 × 20,562
  4. Step 4: Simplify right side
    9,280x = 422,795,844
  5. Step 5: Solve for x
    x = 422,795,844/9,280
  6. Step 6: Final answer
    x = 45,559.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.