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Finding the Third Proportional to 666.56 and 981.14

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Solution

The third proportional to 666.56 and 981.14 is: 1,444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.56 : 981.14 = 981.14 : x
  2. Step 2: Convert to fraction form
    666.56/981.14 = 981.14/x
  3. Step 3: Cross multiply
    666.56x = 981.14 × 981.14
  4. Step 4: Simplify right side
    666.56x = 962,636.93
  5. Step 5: Solve for x
    x = 962,636.93/666.56
  6. Step 6: Final answer
    x = 1,444.18

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.