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Finding the Third Proportional to 113,804 and 172,279

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Solution

The third proportional to 113,804 and 172,279 is: 260,799.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,804 : 172,279 = 172,279 : x
  2. Step 2: Convert to fraction form
    113,804/172,279 = 172,279/x
  3. Step 3: Cross multiply
    113,804x = 172,279 × 172,279
  4. Step 4: Simplify right side
    113,804x = 29,680,053,841
  5. Step 5: Solve for x
    x = 29,680,053,841/113,804
  6. Step 6: Final answer
    x = 260,799.74

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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.