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Finding the Third Proportional to 42,239 and 91,777

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Solution

The third proportional to 42,239 and 91,777 is: 199,413.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,239 : 91,777 = 91,777 : x
  2. Step 2: Convert to fraction form
    42,239/91,777 = 91,777/x
  3. Step 3: Cross multiply
    42,239x = 91,777 × 91,777
  4. Step 4: Simplify right side
    42,239x = 8,423,017,729
  5. Step 5: Solve for x
    x = 8,423,017,729/42,239
  6. Step 6: Final answer
    x = 199,413.28

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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.