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Finding the Third Proportional to 877.78 and 999.28

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Solution

The third proportional to 877.78 and 999.28 is: 1,137.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.78 : 999.28 = 999.28 : x
  2. Step 2: Convert to fraction form
    877.78/999.28 = 999.28/x
  3. Step 3: Cross multiply
    877.78x = 999.28 × 999.28
  4. Step 4: Simplify right side
    877.78x = 998,563.02
  5. Step 5: Solve for x
    x = 998,563.02/877.78
  6. Step 6: Final answer
    x = 1,137.60

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.