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Finding the Third Proportional to 85,106 and 198,788

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Solution

The third proportional to 85,106 and 198,788 is: 464,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,106 : 198,788 = 198,788 : x
  2. Step 2: Convert to fraction form
    85,106/198,788 = 198,788/x
  3. Step 3: Cross multiply
    85,106x = 198,788 × 198,788
  4. Step 4: Simplify right side
    85,106x = 39,516,668,944
  5. Step 5: Solve for x
    x = 39,516,668,944/85,106
  6. Step 6: Final answer
    x = 464,322.95

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.