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Finding the Third Proportional to 4,220.34 and 9,250.69

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Solution

The third proportional to 4,220.34 and 9,250.69 is: 20,276.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,220.34 : 9,250.69 = 9,250.69 : x
  2. Step 2: Convert to fraction form
    4,220.34/9,250.69 = 9,250.69/x
  3. Step 3: Cross multiply
    4,220.34x = 9,250.69 × 9,250.69
  4. Step 4: Simplify right side
    4,220.34x = 85,575,219.22
  5. Step 5: Solve for x
    x = 85,575,219.22/4,220.34
  6. Step 6: Final answer
    x = 20,276.84

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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.