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Finding the Third Proportional to 52,032 and 122,787

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Solution

The third proportional to 52,032 and 122,787 is: 289,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,032 : 122,787 = 122,787 : x
  2. Step 2: Convert to fraction form
    52,032/122,787 = 122,787/x
  3. Step 3: Cross multiply
    52,032x = 122,787 × 122,787
  4. Step 4: Simplify right side
    52,032x = 15,076,647,369
  5. Step 5: Solve for x
    x = 15,076,647,369/52,032
  6. Step 6: Final answer
    x = 289,757.21

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.