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Finding the Third Proportional to 172,638 and 376,664

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Solution

The third proportional to 172,638 and 376,664 is: 821,810.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,638 : 376,664 = 376,664 : x
  2. Step 2: Convert to fraction form
    172,638/376,664 = 376,664/x
  3. Step 3: Cross multiply
    172,638x = 376,664 × 376,664
  4. Step 4: Simplify right side
    172,638x = 141,875,768,896
  5. Step 5: Solve for x
    x = 141,875,768,896/172,638
  6. Step 6: Final answer
    x = 821,810.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.