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Finding the Third Proportional to 172,564 and 253,110

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Solution

The third proportional to 172,564 and 253,110 is: 371,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,564 : 253,110 = 253,110 : x
  2. Step 2: Convert to fraction form
    172,564/253,110 = 253,110/x
  3. Step 3: Cross multiply
    172,564x = 253,110 × 253,110
  4. Step 4: Simplify right side
    172,564x = 64,064,672,100
  5. Step 5: Solve for x
    x = 64,064,672,100/172,564
  6. Step 6: Final answer
    x = 371,251.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.