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Finding the Third Proportional to 400,928 and 881,216

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Solution

The third proportional to 400,928 and 881,216 is: 1,936,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,928 : 881,216 = 881,216 : x
  2. Step 2: Convert to fraction form
    400,928/881,216 = 881,216/x
  3. Step 3: Cross multiply
    400,928x = 881,216 × 881,216
  4. Step 4: Simplify right side
    400,928x = 776,541,638,656
  5. Step 5: Solve for x
    x = 776,541,638,656/400,928
  6. Step 6: Final answer
    x = 1,936,860.58

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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.