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Finding the Third Proportional to 178,624 and 276,328

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Solution

The third proportional to 178,624 and 276,328 is: 427,474.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,624 : 276,328 = 276,328 : x
  2. Step 2: Convert to fraction form
    178,624/276,328 = 276,328/x
  3. Step 3: Cross multiply
    178,624x = 276,328 × 276,328
  4. Step 4: Simplify right side
    178,624x = 76,357,163,584
  5. Step 5: Solve for x
    x = 76,357,163,584/178,624
  6. Step 6: Final answer
    x = 427,474.27

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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.