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Finding the Third Proportional to 172,636 and 376,654

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Solution

The third proportional to 172,636 and 376,654 is: 821,776.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,636 : 376,654 = 376,654 : x
  2. Step 2: Convert to fraction form
    172,636/376,654 = 376,654/x
  3. Step 3: Cross multiply
    172,636x = 376,654 × 376,654
  4. Step 4: Simplify right side
    172,636x = 141,868,235,716
  5. Step 5: Solve for x
    x = 141,868,235,716/172,636
  6. Step 6: Final answer
    x = 821,776.66

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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.