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Finding the Third Proportional to 219,585 and 321,006

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Solution

The third proportional to 219,585 and 321,006 is: 469,270.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,585 : 321,006 = 321,006 : x
  2. Step 2: Convert to fraction form
    219,585/321,006 = 321,006/x
  3. Step 3: Cross multiply
    219,585x = 321,006 × 321,006
  4. Step 4: Simplify right side
    219,585x = 103,044,852,036
  5. Step 5: Solve for x
    x = 103,044,852,036/219,585
  6. Step 6: Final answer
    x = 469,270.91

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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.