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Finding the Third Proportional to 221,960 and 340,392

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Solution

The third proportional to 221,960 and 340,392 is: 522,016.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,960 : 340,392 = 340,392 : x
  2. Step 2: Convert to fraction form
    221,960/340,392 = 340,392/x
  3. Step 3: Cross multiply
    221,960x = 340,392 × 340,392
  4. Step 4: Simplify right side
    221,960x = 115,866,713,664
  5. Step 5: Solve for x
    x = 115,866,713,664/221,960
  6. Step 6: Final answer
    x = 522,016.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.