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Finding the Third Proportional to 221,405 and 293,881

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Solution

The third proportional to 221,405 and 293,881 is: 390,081.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,405 : 293,881 = 293,881 : x
  2. Step 2: Convert to fraction form
    221,405/293,881 = 293,881/x
  3. Step 3: Cross multiply
    221,405x = 293,881 × 293,881
  4. Step 4: Simplify right side
    221,405x = 86,366,042,161
  5. Step 5: Solve for x
    x = 86,366,042,161/221,405
  6. Step 6: Final answer
    x = 390,081.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.