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Finding the Third Proportional to 138,389 and 176,834

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Solution

The third proportional to 138,389 and 176,834 is: 225,959.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,389 : 176,834 = 176,834 : x
  2. Step 2: Convert to fraction form
    138,389/176,834 = 176,834/x
  3. Step 3: Cross multiply
    138,389x = 176,834 × 176,834
  4. Step 4: Simplify right side
    138,389x = 31,270,263,556
  5. Step 5: Solve for x
    x = 31,270,263,556/138,389
  6. Step 6: Final answer
    x = 225,959.17

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.