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Finding the Third Proportional to 221,197.50 and 333,608.63

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Solution

The third proportional to 221,197.50 and 333,608.63 is: 503,146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,197.50 : 333,608.63 = 333,608.63 : x
  2. Step 2: Convert to fraction form
    221,197.50/333,608.63 = 333,608.63/x
  3. Step 3: Cross multiply
    221,197.50x = 333,608.63 × 333,608.63
  4. Step 4: Simplify right side
    221,197.50x = 111,294,714,674.39
  5. Step 5: Solve for x
    x = 111,294,714,674.39/221,197.50
  6. Step 6: Final answer
    x = 503,146.35

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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.