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Finding the Third Proportional to 431.42 and 666.35

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Solution

The third proportional to 431.42 and 666.35 is: 1,029.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.42 : 666.35 = 666.35 : x
  2. Step 2: Convert to fraction form
    431.42/666.35 = 666.35/x
  3. Step 3: Cross multiply
    431.42x = 666.35 × 666.35
  4. Step 4: Simplify right side
    431.42x = 444,024.40
  5. Step 5: Solve for x
    x = 444,024.40/431.42
  6. Step 6: Final answer
    x = 1,029.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.