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Finding the Third Proportional to 666,120 and 981,540

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Solution

The third proportional to 666,120 and 981,540 is: 1,446,317.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,120 : 981,540 = 981,540 : x
  2. Step 2: Convert to fraction form
    666,120/981,540 = 981,540/x
  3. Step 3: Cross multiply
    666,120x = 981,540 × 981,540
  4. Step 4: Simplify right side
    666,120x = 963,420,771,600
  5. Step 5: Solve for x
    x = 963,420,771,600/666,120
  6. Step 6: Final answer
    x = 1,446,317.14

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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.