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Finding the Third Proportional to 429.66 and 666.94

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Solution

The third proportional to 429.66 and 666.94 is: 1,035.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.66 : 666.94 = 666.94 : x
  2. Step 2: Convert to fraction form
    429.66/666.94 = 666.94/x
  3. Step 3: Cross multiply
    429.66x = 666.94 × 666.94
  4. Step 4: Simplify right side
    429.66x = 444,805.63
  5. Step 5: Solve for x
    x = 444,805.63/429.66
  6. Step 6: Final answer
    x = 1,035.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.