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Finding the Third Proportional to 84,430 and 133,692

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Solution

The third proportional to 84,430 and 133,692 is: 211,696.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,430 : 133,692 = 133,692 : x
  2. Step 2: Convert to fraction form
    84,430/133,692 = 133,692/x
  3. Step 3: Cross multiply
    84,430x = 133,692 × 133,692
  4. Step 4: Simplify right side
    84,430x = 17,873,550,864
  5. Step 5: Solve for x
    x = 17,873,550,864/84,430
  6. Step 6: Final answer
    x = 211,696.68

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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.