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Finding the Third Proportional to 84,406 and 133,656

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Solution

The third proportional to 84,406 and 133,656 is: 211,642.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,406 : 133,656 = 133,656 : x
  2. Step 2: Convert to fraction form
    84,406/133,656 = 133,656/x
  3. Step 3: Cross multiply
    84,406x = 133,656 × 133,656
  4. Step 4: Simplify right side
    84,406x = 17,863,926,336
  5. Step 5: Solve for x
    x = 17,863,926,336/84,406
  6. Step 6: Final answer
    x = 211,642.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.