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Finding the Third Proportional to 400,378 and 879,506

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Solution

The third proportional to 400,378 and 879,506 is: 1,932,001.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,378 : 879,506 = 879,506 : x
  2. Step 2: Convert to fraction form
    400,378/879,506 = 879,506/x
  3. Step 3: Cross multiply
    400,378x = 879,506 × 879,506
  4. Step 4: Simplify right side
    400,378x = 773,530,804,036
  5. Step 5: Solve for x
    x = 773,530,804,036/400,378
  6. Step 6: Final answer
    x = 1,932,001.27

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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.