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Finding the Third Proportional to 9,211.85 and 21,654.21

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Solution

The third proportional to 9,211.85 and 21,654.21 is: 50,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.85 : 21,654.21 = 21,654.21 : x
  2. Step 2: Convert to fraction form
    9,211.85/21,654.21 = 21,654.21/x
  3. Step 3: Cross multiply
    9,211.85x = 21,654.21 × 21,654.21
  4. Step 4: Simplify right side
    9,211.85x = 468,904,851.33
  5. Step 5: Solve for x
    x = 468,904,851.33/9,211.85
  6. Step 6: Final answer
    x = 50,902.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.