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Finding the Third Proportional to 143.33 and 307.55

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Solution

The third proportional to 143.33 and 307.55 is: 659.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.33 : 307.55 = 307.55 : x
  2. Step 2: Convert to fraction form
    143.33/307.55 = 307.55/x
  3. Step 3: Cross multiply
    143.33x = 307.55 × 307.55
  4. Step 4: Simplify right side
    143.33x = 94,585.08
  5. Step 5: Solve for x
    x = 94,585.08/143.33
  6. Step 6: Final answer
    x = 659.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.