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Finding the Third Proportional to 103,832 and 218,032

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Solution

The third proportional to 103,832 and 218,032 is: 457,835.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,832 : 218,032 = 218,032 : x
  2. Step 2: Convert to fraction form
    103,832/218,032 = 218,032/x
  3. Step 3: Cross multiply
    103,832x = 218,032 × 218,032
  4. Step 4: Simplify right side
    103,832x = 47,537,953,024
  5. Step 5: Solve for x
    x = 47,537,953,024/103,832
  6. Step 6: Final answer
    x = 457,835.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.