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Finding the Third Proportional to 4,223.50 and 9,290

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Solution

The third proportional to 4,223.50 and 9,290 is: 20,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.50 : 9,290 = 9,290 : x
  2. Step 2: Convert to fraction form
    4,223.50/9,290 = 9,290/x
  3. Step 3: Cross multiply
    4,223.50x = 9,290 × 9,290
  4. Step 4: Simplify right side
    4,223.50x = 86,304,100
  5. Step 5: Solve for x
    x = 86,304,100/4,223.50
  6. Step 6: Final answer
    x = 20,434.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.