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Finding the Third Proportional to 84,610 and 133,878

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Solution

The third proportional to 84,610 and 133,878 is: 211,834.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,610 : 133,878 = 133,878 : x
  2. Step 2: Convert to fraction form
    84,610/133,878 = 133,878/x
  3. Step 3: Cross multiply
    84,610x = 133,878 × 133,878
  4. Step 4: Simplify right side
    84,610x = 17,923,318,884
  5. Step 5: Solve for x
    x = 17,923,318,884/84,610
  6. Step 6: Final answer
    x = 211,834.52

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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.