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Finding the Third Proportional to 113,802 and 172,276

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Solution

The third proportional to 113,802 and 172,276 is: 260,795.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,802 : 172,276 = 172,276 : x
  2. Step 2: Convert to fraction form
    113,802/172,276 = 172,276/x
  3. Step 3: Cross multiply
    113,802x = 172,276 × 172,276
  4. Step 4: Simplify right side
    113,802x = 29,679,020,176
  5. Step 5: Solve for x
    x = 29,679,020,176/113,802
  6. Step 6: Final answer
    x = 260,795.24

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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.