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Finding the Third Proportional to 62,406 and 133,644

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Solution

The third proportional to 62,406 and 133,644 is: 286,201.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,406 : 133,644 = 133,644 : x
  2. Step 2: Convert to fraction form
    62,406/133,644 = 133,644/x
  3. Step 3: Cross multiply
    62,406x = 133,644 × 133,644
  4. Step 4: Simplify right side
    62,406x = 17,860,718,736
  5. Step 5: Solve for x
    x = 17,860,718,736/62,406
  6. Step 6: Final answer
    x = 286,201.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.