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Finding the Third Proportional to 9,570 and 20,918

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Solution

The third proportional to 9,570 and 20,918 is: 45,722.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,570 : 20,918 = 20,918 : x
  2. Step 2: Convert to fraction form
    9,570/20,918 = 20,918/x
  3. Step 3: Cross multiply
    9,570x = 20,918 × 20,918
  4. Step 4: Simplify right side
    9,570x = 437,562,724
  5. Step 5: Solve for x
    x = 437,562,724/9,570
  6. Step 6: Final answer
    x = 45,722.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.