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Finding the Third Proportional to 113,686 and 172,115

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Solution

The third proportional to 113,686 and 172,115 is: 260,573.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,686 : 172,115 = 172,115 : x
  2. Step 2: Convert to fraction form
    113,686/172,115 = 172,115/x
  3. Step 3: Cross multiply
    113,686x = 172,115 × 172,115
  4. Step 4: Simplify right side
    113,686x = 29,623,573,225
  5. Step 5: Solve for x
    x = 29,623,573,225/113,686
  6. Step 6: Final answer
    x = 260,573.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.