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Finding the Third Proportional to 172,971 and 376,233.75

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Solution

The third proportional to 172,971 and 376,233.75 is: 818,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,971 : 376,233.75 = 376,233.75 : x
  2. Step 2: Convert to fraction form
    172,971/376,233.75 = 376,233.75/x
  3. Step 3: Cross multiply
    172,971x = 376,233.75 × 376,233.75
  4. Step 4: Simplify right side
    172,971x = 141,551,834,639.06
  5. Step 5: Solve for x
    x = 141,551,834,639.06/172,971
  6. Step 6: Final answer
    x = 818,355.88

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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.