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Finding the Third Proportional to 178,536 and 276,448

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Solution

The third proportional to 178,536 and 276,448 is: 428,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,536 : 276,448 = 276,448 : x
  2. Step 2: Convert to fraction form
    178,536/276,448 = 276,448/x
  3. Step 3: Cross multiply
    178,536x = 276,448 × 276,448
  4. Step 4: Simplify right side
    178,536x = 76,423,496,704
  5. Step 5: Solve for x
    x = 76,423,496,704/178,536
  6. Step 6: Final answer
    x = 428,056.51

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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.