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Finding the Third Proportional to 666,138 and 981,567

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Solution

The third proportional to 666,138 and 981,567 is: 1,446,357.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,138 : 981,567 = 981,567 : x
  2. Step 2: Convert to fraction form
    666,138/981,567 = 981,567/x
  3. Step 3: Cross multiply
    666,138x = 981,567 × 981,567
  4. Step 4: Simplify right side
    666,138x = 963,473,775,489
  5. Step 5: Solve for x
    x = 963,473,775,489/666,138
  6. Step 6: Final answer
    x = 1,446,357.62

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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.