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Finding the Third Proportional to 666.19 and 1,432.31

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Solution

The third proportional to 666.19 and 1,432.31 is: 3,079.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.19 : 1,432.31 = 1,432.31 : x
  2. Step 2: Convert to fraction form
    666.19/1,432.31 = 1,432.31/x
  3. Step 3: Cross multiply
    666.19x = 1,432.31 × 1,432.31
  4. Step 4: Simplify right side
    666.19x = 2,051,519.10
  5. Step 5: Solve for x
    x = 2,051,519.10/666.19
  6. Step 6: Final answer
    x = 3,079.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.