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Finding the Third Proportional to 666.56 and 761.06

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Solution

The third proportional to 666.56 and 761.06 is: 868.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 761.06 = 761.06 : x
  2. Step 2: Convert to fraction form
    666.56/761.06 = 761.06/x
  3. Step 3: Cross multiply
    666.56x = 761.06 × 761.06
  4. Step 4: Simplify right side
    666.56x = 579,216.13
  5. Step 5: Solve for x
    x = 579,216.13/666.56
  6. Step 6: Final answer
    x = 868.96

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.