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Finding the Third Proportional to 221,584.50 and 322,690.50

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Solution

The third proportional to 221,584.50 and 322,690.50 is: 469,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,584.50 : 322,690.50 = 322,690.50 : x
  2. Step 2: Convert to fraction form
    221,584.50/322,690.50 = 322,690.50/x
  3. Step 3: Cross multiply
    221,584.50x = 322,690.50 × 322,690.50
  4. Step 4: Simplify right side
    221,584.50x = 104,129,158,790.25
  5. Step 5: Solve for x
    x = 104,129,158,790.25/221,584.50
  6. Step 6: Final answer
    x = 469,929.80

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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.