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Finding the Third Proportional to 172,330 and 248,207

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Solution

The third proportional to 172,330 and 248,207 is: 357,492.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,330 : 248,207 = 248,207 : x
  2. Step 2: Convert to fraction form
    172,330/248,207 = 248,207/x
  3. Step 3: Cross multiply
    172,330x = 248,207 × 248,207
  4. Step 4: Simplify right side
    172,330x = 61,606,714,849
  5. Step 5: Solve for x
    x = 61,606,714,849/172,330
  6. Step 6: Final answer
    x = 357,492.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.