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Finding the Third Proportional to 169,021.69 and 261,363.11

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Solution

The third proportional to 169,021.69 and 261,363.11 is: 404,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,021.69 : 261,363.11 = 261,363.11 : x
  2. Step 2: Convert to fraction form
    169,021.69/261,363.11 = 261,363.11/x
  3. Step 3: Cross multiply
    169,021.69x = 261,363.11 × 261,363.11
  4. Step 4: Simplify right side
    169,021.69x = 68,310,675,963.12
  5. Step 5: Solve for x
    x = 68,310,675,963.12/169,021.69
  6. Step 6: Final answer
    x = 404,153.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.