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Finding the Third Proportional to 53,586 and 117,377

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Solution

The third proportional to 53,586 and 117,377 is: 257,107.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,586 : 117,377 = 117,377 : x
  2. Step 2: Convert to fraction form
    53,586/117,377 = 117,377/x
  3. Step 3: Cross multiply
    53,586x = 117,377 × 117,377
  4. Step 4: Simplify right side
    53,586x = 13,777,360,129
  5. Step 5: Solve for x
    x = 13,777,360,129/53,586
  6. Step 6: Final answer
    x = 257,107.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.