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Finding the Third Proportional to 403,777 and 887,157

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Solution

The third proportional to 403,777 and 887,157 is: 1,949,213.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,777 : 887,157 = 887,157 : x
  2. Step 2: Convert to fraction form
    403,777/887,157 = 887,157/x
  3. Step 3: Cross multiply
    403,777x = 887,157 × 887,157
  4. Step 4: Simplify right side
    403,777x = 787,047,542,649
  5. Step 5: Solve for x
    x = 787,047,542,649/403,777
  6. Step 6: Final answer
    x = 1,949,213.41

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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.