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Finding the Third Proportional to 453,708 and 981,288

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Solution

The third proportional to 453,708 and 981,288 is: 2,122,347.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,708 : 981,288 = 981,288 : x
  2. Step 2: Convert to fraction form
    453,708/981,288 = 981,288/x
  3. Step 3: Cross multiply
    453,708x = 981,288 × 981,288
  4. Step 4: Simplify right side
    453,708x = 962,926,138,944
  5. Step 5: Solve for x
    x = 962,926,138,944/453,708
  6. Step 6: Final answer
    x = 2,122,347.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.