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Finding the Third Proportional to 172,986 and 221,040

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Solution

The third proportional to 172,986 and 221,040 is: 282,442.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,986 : 221,040 = 221,040 : x
  2. Step 2: Convert to fraction form
    172,986/221,040 = 221,040/x
  3. Step 3: Cross multiply
    172,986x = 221,040 × 221,040
  4. Step 4: Simplify right side
    172,986x = 48,858,681,600
  5. Step 5: Solve for x
    x = 48,858,681,600/172,986
  6. Step 6: Final answer
    x = 282,442.98

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.