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Finding the Third Proportional to 106,438 and 177,389

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Solution

The third proportional to 106,438 and 177,389 is: 295,635.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,438 : 177,389 = 177,389 : x
  2. Step 2: Convert to fraction form
    106,438/177,389 = 177,389/x
  3. Step 3: Cross multiply
    106,438x = 177,389 × 177,389
  4. Step 4: Simplify right side
    106,438x = 31,466,857,321
  5. Step 5: Solve for x
    x = 31,466,857,321/106,438
  6. Step 6: Final answer
    x = 295,635.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.