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Finding the Third Proportional to 178,028 and 274,892

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Solution

The third proportional to 178,028 and 274,892 is: 424,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,028 : 274,892 = 274,892 : x
  2. Step 2: Convert to fraction form
    178,028/274,892 = 274,892/x
  3. Step 3: Cross multiply
    178,028x = 274,892 × 274,892
  4. Step 4: Simplify right side
    178,028x = 75,565,611,664
  5. Step 5: Solve for x
    x = 75,565,611,664/178,028
  6. Step 6: Final answer
    x = 424,459.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.