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Finding the Third Proportional to 377,871 and 798,396

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Solution

The third proportional to 377,871 and 798,396 is: 1,686,914.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,871 : 798,396 = 798,396 : x
  2. Step 2: Convert to fraction form
    377,871/798,396 = 798,396/x
  3. Step 3: Cross multiply
    377,871x = 798,396 × 798,396
  4. Step 4: Simplify right side
    377,871x = 637,436,172,816
  5. Step 5: Solve for x
    x = 637,436,172,816/377,871
  6. Step 6: Final answer
    x = 1,686,914.77

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.