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Finding the Third Proportional to 403.88 and 877.50

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Solution

The third proportional to 403.88 and 877.50 is: 1,906.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.88 : 877.50 = 877.50 : x
  2. Step 2: Convert to fraction form
    403.88/877.50 = 877.50/x
  3. Step 3: Cross multiply
    403.88x = 877.50 × 877.50
  4. Step 4: Simplify right side
    403.88x = 770,006.25
  5. Step 5: Solve for x
    x = 770,006.25/403.88
  6. Step 6: Final answer
    x = 1,906.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.