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Finding the Third Proportional to 178,448 and 276,729

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Solution

The third proportional to 178,448 and 276,729 is: 429,138.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,448 : 276,729 = 276,729 : x
  2. Step 2: Convert to fraction form
    178,448/276,729 = 276,729/x
  3. Step 3: Cross multiply
    178,448x = 276,729 × 276,729
  4. Step 4: Simplify right side
    178,448x = 76,578,939,441
  5. Step 5: Solve for x
    x = 76,578,939,441/178,448
  6. Step 6: Final answer
    x = 429,138.68

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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.