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Finding the Third Proportional to 377,644.50 and 821,693

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Solution

The third proportional to 377,644.50 and 821,693 is: 1,787,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,644.50 : 821,693 = 821,693 : x
  2. Step 2: Convert to fraction form
    377,644.50/821,693 = 821,693/x
  3. Step 3: Cross multiply
    377,644.50x = 821,693 × 821,693
  4. Step 4: Simplify right side
    377,644.50x = 675,179,386,249
  5. Step 5: Solve for x
    x = 675,179,386,249/377,644.50
  6. Step 6: Final answer
    x = 1,787,870.30

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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.