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Finding the Third Proportional to 387,028.69 and 874,401.19

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Solution

The third proportional to 387,028.69 and 874,401.19 is: 1,975,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,028.69 : 874,401.19 = 874,401.19 : x
  2. Step 2: Convert to fraction form
    387,028.69/874,401.19 = 874,401.19/x
  3. Step 3: Cross multiply
    387,028.69x = 874,401.19 × 874,401.19
  4. Step 4: Simplify right side
    387,028.69x = 764,577,436,701.41
  5. Step 5: Solve for x
    x = 764,577,436,701.41/387,028.69
  6. Step 6: Final answer
    x = 1,975,505.85

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.