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Finding the Third Proportional to 138,384 and 214,032

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Solution

The third proportional to 138,384 and 214,032 is: 331,033.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,384 : 214,032 = 214,032 : x
  2. Step 2: Convert to fraction form
    138,384/214,032 = 214,032/x
  3. Step 3: Cross multiply
    138,384x = 214,032 × 214,032
  4. Step 4: Simplify right side
    138,384x = 45,809,697,024
  5. Step 5: Solve for x
    x = 45,809,697,024/138,384
  6. Step 6: Final answer
    x = 331,033.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.