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Finding the Third Proportional to 172,712 and 263,246

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Solution

The third proportional to 172,712 and 263,246 is: 401,237.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,712 : 263,246 = 263,246 : x
  2. Step 2: Convert to fraction form
    172,712/263,246 = 263,246/x
  3. Step 3: Cross multiply
    172,712x = 263,246 × 263,246
  4. Step 4: Simplify right side
    172,712x = 69,298,456,516
  5. Step 5: Solve for x
    x = 69,298,456,516/172,712
  6. Step 6: Final answer
    x = 401,237.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.