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Finding the Third Proportional to 621,234 and 981,908

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Solution

The third proportional to 621,234 and 981,908 is: 1,551,980.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,234 : 981,908 = 981,908 : x
  2. Step 2: Convert to fraction form
    621,234/981,908 = 981,908/x
  3. Step 3: Cross multiply
    621,234x = 981,908 × 981,908
  4. Step 4: Simplify right side
    621,234x = 964,143,320,464
  5. Step 5: Solve for x
    x = 964,143,320,464/621,234
  6. Step 6: Final answer
    x = 1,551,980.93

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.