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Finding the Third Proportional to 400,310 and 879,351

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Solution

The third proportional to 400,310 and 879,351 is: 1,931,648.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,310 : 879,351 = 879,351 : x
  2. Step 2: Convert to fraction form
    400,310/879,351 = 879,351/x
  3. Step 3: Cross multiply
    400,310x = 879,351 × 879,351
  4. Step 4: Simplify right side
    400,310x = 773,258,181,201
  5. Step 5: Solve for x
    x = 773,258,181,201/400,310
  6. Step 6: Final answer
    x = 1,931,648.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.