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Finding the Third Proportional to 291.66 and 698.06

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Solution

The third proportional to 291.66 and 698.06 is: 1,670.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.66 : 698.06 = 698.06 : x
  2. Step 2: Convert to fraction form
    291.66/698.06 = 698.06/x
  3. Step 3: Cross multiply
    291.66x = 698.06 × 698.06
  4. Step 4: Simplify right side
    291.66x = 487,291.25
  5. Step 5: Solve for x
    x = 487,291.25/291.66
  6. Step 6: Final answer
    x = 1,670.77

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.