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Finding the Third Proportional to 174,435 and 276,687

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Solution

The third proportional to 174,435 and 276,687 is: 438,878.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,435 : 276,687 = 276,687 : x
  2. Step 2: Convert to fraction form
    174,435/276,687 = 276,687/x
  3. Step 3: Cross multiply
    174,435x = 276,687 × 276,687
  4. Step 4: Simplify right side
    174,435x = 76,555,695,969
  5. Step 5: Solve for x
    x = 76,555,695,969/174,435
  6. Step 6: Final answer
    x = 438,878.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.