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Finding the Third Proportional to 219,145 and 332,787

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Solution

The third proportional to 219,145 and 332,787 is: 505,360.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,145 : 332,787 = 332,787 : x
  2. Step 2: Convert to fraction form
    219,145/332,787 = 332,787/x
  3. Step 3: Cross multiply
    219,145x = 332,787 × 332,787
  4. Step 4: Simplify right side
    219,145x = 110,747,187,369
  5. Step 5: Solve for x
    x = 110,747,187,369/219,145
  6. Step 6: Final answer
    x = 505,360.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.