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Finding the Third Proportional to 178,540 and 276,454

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Solution

The third proportional to 178,540 and 276,454 is: 428,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,540 : 276,454 = 276,454 : x
  2. Step 2: Convert to fraction form
    178,540/276,454 = 276,454/x
  3. Step 3: Cross multiply
    178,540x = 276,454 × 276,454
  4. Step 4: Simplify right side
    178,540x = 76,426,814,116
  5. Step 5: Solve for x
    x = 76,426,814,116/178,540
  6. Step 6: Final answer
    x = 428,065.50

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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.