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Finding the Third Proportional to 221,160 and 333,573

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Solution

The third proportional to 221,160 and 333,573 is: 503,124.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,160 : 333,573 = 333,573 : x
  2. Step 2: Convert to fraction form
    221,160/333,573 = 333,573/x
  3. Step 3: Cross multiply
    221,160x = 333,573 × 333,573
  4. Step 4: Simplify right side
    221,160x = 111,270,946,329
  5. Step 5: Solve for x
    x = 111,270,946,329/221,160
  6. Step 6: Final answer
    x = 503,124.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.