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Finding the Third Proportional to 666.56 and 1,010.39

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Solution

The third proportional to 666.56 and 1,010.39 is: 1,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 1,010.39 = 1,010.39 : x
  2. Step 2: Convert to fraction form
    666.56/1,010.39 = 1,010.39/x
  3. Step 3: Cross multiply
    666.56x = 1,010.39 × 1,010.39
  4. Step 4: Simplify right side
    666.56x = 1,020,889.22
  5. Step 5: Solve for x
    x = 1,020,889.22/666.56
  6. Step 6: Final answer
    x = 1,531.57

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.