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Finding the Third Proportional to 53,377 and 115,519

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Solution

The third proportional to 53,377 and 115,519 is: 250,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,377 : 115,519 = 115,519 : x
  2. Step 2: Convert to fraction form
    53,377/115,519 = 115,519/x
  3. Step 3: Cross multiply
    53,377x = 115,519 × 115,519
  4. Step 4: Simplify right side
    53,377x = 13,344,639,361
  5. Step 5: Solve for x
    x = 13,344,639,361/53,377
  6. Step 6: Final answer
    x = 250,007.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.