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Finding the Third Proportional to 377,149 and 820,717.25

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Solution

The third proportional to 377,149 and 820,717.25 is: 1,785,970.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,149 : 820,717.25 = 820,717.25 : x
  2. Step 2: Convert to fraction form
    377,149/820,717.25 = 820,717.25/x
  3. Step 3: Cross multiply
    377,149x = 820,717.25 × 820,717.25
  4. Step 4: Simplify right side
    377,149x = 673,576,804,447.56
  5. Step 5: Solve for x
    x = 673,576,804,447.56/377,149
  6. Step 6: Final answer
    x = 1,785,970.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.