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Finding the Third Proportional to 117,840 and 242,592

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Solution

The third proportional to 117,840 and 242,592 is: 499,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,840 : 242,592 = 242,592 : x
  2. Step 2: Convert to fraction form
    117,840/242,592 = 242,592/x
  3. Step 3: Cross multiply
    117,840x = 242,592 × 242,592
  4. Step 4: Simplify right side
    117,840x = 58,850,878,464
  5. Step 5: Solve for x
    x = 58,850,878,464/117,840
  6. Step 6: Final answer
    x = 499,413.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.