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Finding the Third Proportional to 8,557 and 21,099

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Solution

The third proportional to 8,557 and 21,099 is: 52,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,557 : 21,099 = 21,099 : x
  2. Step 2: Convert to fraction form
    8,557/21,099 = 21,099/x
  3. Step 3: Cross multiply
    8,557x = 21,099 × 21,099
  4. Step 4: Simplify right side
    8,557x = 445,167,801
  5. Step 5: Solve for x
    x = 445,167,801/8,557
  6. Step 6: Final answer
    x = 52,023.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.