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Finding the Third Proportional to 221,572 and 332,284

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Solution

The third proportional to 221,572 and 332,284 is: 498,315.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,572 : 332,284 = 332,284 : x
  2. Step 2: Convert to fraction form
    221,572/332,284 = 332,284/x
  3. Step 3: Cross multiply
    221,572x = 332,284 × 332,284
  4. Step 4: Simplify right side
    221,572x = 110,412,656,656
  5. Step 5: Solve for x
    x = 110,412,656,656/221,572
  6. Step 6: Final answer
    x = 498,315.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.