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Finding the Third Proportional to 455,789 and 981,670

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Solution

The third proportional to 455,789 and 981,670 is: 2,114,302.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,789 : 981,670 = 981,670 : x
  2. Step 2: Convert to fraction form
    455,789/981,670 = 981,670/x
  3. Step 3: Cross multiply
    455,789x = 981,670 × 981,670
  4. Step 4: Simplify right side
    455,789x = 963,675,988,900
  5. Step 5: Solve for x
    x = 963,675,988,900/455,789
  6. Step 6: Final answer
    x = 2,114,302.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.