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Finding the Third Proportional to 220.20 and 307.85

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Solution

The third proportional to 220.20 and 307.85 is: 430.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    220.20 : 307.85 = 307.85 : x
  2. Step 2: Convert to fraction form
    220.20/307.85 = 307.85/x
  3. Step 3: Cross multiply
    220.20x = 307.85 × 307.85
  4. Step 4: Simplify right side
    220.20x = 94,772.58
  5. Step 5: Solve for x
    x = 94,772.58/220.20
  6. Step 6: Final answer
    x = 430.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.