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Finding the Third Proportional to 219,008 and 287,568

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Solution

The third proportional to 219,008 and 287,568 is: 377,590.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,008 : 287,568 = 287,568 : x
  2. Step 2: Convert to fraction form
    219,008/287,568 = 287,568/x
  3. Step 3: Cross multiply
    219,008x = 287,568 × 287,568
  4. Step 4: Simplify right side
    219,008x = 82,695,354,624
  5. Step 5: Solve for x
    x = 82,695,354,624/219,008
  6. Step 6: Final answer
    x = 377,590.57

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.