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Finding the Third Proportional to 54,315 and 117,377

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Solution

The third proportional to 54,315 and 117,377 is: 253,656.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,315 : 117,377 = 117,377 : x
  2. Step 2: Convert to fraction form
    54,315/117,377 = 117,377/x
  3. Step 3: Cross multiply
    54,315x = 117,377 × 117,377
  4. Step 4: Simplify right side
    54,315x = 13,777,360,129
  5. Step 5: Solve for x
    x = 13,777,360,129/54,315
  6. Step 6: Final answer
    x = 253,656.63

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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.