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Finding the Third Proportional to 219,432 and 320,832

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Solution

The third proportional to 219,432 and 320,832 is: 469,089.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,432 : 320,832 = 320,832 : x
  2. Step 2: Convert to fraction form
    219,432/320,832 = 320,832/x
  3. Step 3: Cross multiply
    219,432x = 320,832 × 320,832
  4. Step 4: Simplify right side
    219,432x = 102,933,172,224
  5. Step 5: Solve for x
    x = 102,933,172,224/219,432
  6. Step 6: Final answer
    x = 469,089.16

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.