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Finding the Third Proportional to 172,850 and 282,247

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Solution

The third proportional to 172,850 and 282,247 is: 460,881.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,850 : 282,247 = 282,247 : x
  2. Step 2: Convert to fraction form
    172,850/282,247 = 282,247/x
  3. Step 3: Cross multiply
    172,850x = 282,247 × 282,247
  4. Step 4: Simplify right side
    172,850x = 79,663,369,009
  5. Step 5: Solve for x
    x = 79,663,369,009/172,850
  6. Step 6: Final answer
    x = 460,881.51

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.