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Finding the Third Proportional to 219,310 and 285,831

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Solution

The third proportional to 219,310 and 285,831 is: 372,529.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,310 : 285,831 = 285,831 : x
  2. Step 2: Convert to fraction form
    219,310/285,831 = 285,831/x
  3. Step 3: Cross multiply
    219,310x = 285,831 × 285,831
  4. Step 4: Simplify right side
    219,310x = 81,699,360,561
  5. Step 5: Solve for x
    x = 81,699,360,561/219,310
  6. Step 6: Final answer
    x = 372,529.12

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.