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Finding the Third Proportional to 84,418 and 133,673

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Solution

The third proportional to 84,418 and 133,673 is: 211,666.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,418 : 133,673 = 133,673 : x
  2. Step 2: Convert to fraction form
    84,418/133,673 = 133,673/x
  3. Step 3: Cross multiply
    84,418x = 133,673 × 133,673
  4. Step 4: Simplify right side
    84,418x = 17,868,470,929
  5. Step 5: Solve for x
    x = 17,868,470,929/84,418
  6. Step 6: Final answer
    x = 211,666.60

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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.