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Finding the Third Proportional to 178,526 and 276,606

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Solution

The third proportional to 178,526 and 276,606 is: 428,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,526 : 276,606 = 276,606 : x
  2. Step 2: Convert to fraction form
    178,526/276,606 = 276,606/x
  3. Step 3: Cross multiply
    178,526x = 276,606 × 276,606
  4. Step 4: Simplify right side
    178,526x = 76,510,879,236
  5. Step 5: Solve for x
    x = 76,510,879,236/178,526
  6. Step 6: Final answer
    x = 428,569.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.