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Finding the Third Proportional to 418.29 and 662.87

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Solution

The third proportional to 418.29 and 662.87 is: 1,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.29 : 662.87 = 662.87 : x
  2. Step 2: Convert to fraction form
    418.29/662.87 = 662.87/x
  3. Step 3: Cross multiply
    418.29x = 662.87 × 662.87
  4. Step 4: Simplify right side
    418.29x = 439,398.09
  5. Step 5: Solve for x
    x = 439,398.09/418.29
  6. Step 6: Final answer
    x = 1,050.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.