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Finding the Third Proportional to 377,642.25 and 821,688.75

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Solution

The third proportional to 377,642.25 and 821,688.75 is: 1,787,862.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,642.25 : 821,688.75 = 821,688.75 : x
  2. Step 2: Convert to fraction form
    377,642.25/821,688.75 = 821,688.75/x
  3. Step 3: Cross multiply
    377,642.25x = 821,688.75 × 821,688.75
  4. Step 4: Simplify right side
    377,642.25x = 675,172,401,876.56
  5. Step 5: Solve for x
    x = 675,172,401,876.56/377,642.25
  6. Step 6: Final answer
    x = 1,787,862.46

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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.