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Finding the Third Proportional to 307.94 and 659.13

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Solution

The third proportional to 307.94 and 659.13 is: 1,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.94 : 659.13 = 659.13 : x
  2. Step 2: Convert to fraction form
    307.94/659.13 = 659.13/x
  3. Step 3: Cross multiply
    307.94x = 659.13 × 659.13
  4. Step 4: Simplify right side
    307.94x = 434,445.77
  5. Step 5: Solve for x
    x = 434,445.77/307.94
  6. Step 6: Final answer
    x = 1,410.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.