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Finding the Third Proportional to 418.22 and 657.84

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Solution

The third proportional to 418.22 and 657.84 is: 1,034.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.22 : 657.84 = 657.84 : x
  2. Step 2: Convert to fraction form
    418.22/657.84 = 657.84/x
  3. Step 3: Cross multiply
    418.22x = 657.84 × 657.84
  4. Step 4: Simplify right side
    418.22x = 432,758.40
  5. Step 5: Solve for x
    x = 432,758.40/418.22
  6. Step 6: Final answer
    x = 1,034.77

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.