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Finding the Third Proportional to 219,472 and 320,844

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Solution

The third proportional to 219,472 and 320,844 is: 469,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,472 : 320,844 = 320,844 : x
  2. Step 2: Convert to fraction form
    219,472/320,844 = 320,844/x
  3. Step 3: Cross multiply
    219,472x = 320,844 × 320,844
  4. Step 4: Simplify right side
    219,472x = 102,940,872,336
  5. Step 5: Solve for x
    x = 102,940,872,336/219,472
  6. Step 6: Final answer
    x = 469,038.75

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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.