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Finding the Third Proportional to 419,832 and 488,076

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Solution

The third proportional to 419,832 and 488,076 is: 567,413.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,832 : 488,076 = 488,076 : x
  2. Step 2: Convert to fraction form
    419,832/488,076 = 488,076/x
  3. Step 3: Cross multiply
    419,832x = 488,076 × 488,076
  4. Step 4: Simplify right side
    419,832x = 238,218,181,776
  5. Step 5: Solve for x
    x = 238,218,181,776/419,832
  6. Step 6: Final answer
    x = 567,413.11

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.