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Finding the Third Proportional to 221,008 and 339,902

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Solution

The third proportional to 221,008 and 339,902 is: 522,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,008 : 339,902 = 339,902 : x
  2. Step 2: Convert to fraction form
    221,008/339,902 = 339,902/x
  3. Step 3: Cross multiply
    221,008x = 339,902 × 339,902
  4. Step 4: Simplify right side
    221,008x = 115,533,369,604
  5. Step 5: Solve for x
    x = 115,533,369,604/221,008
  6. Step 6: Final answer
    x = 522,756.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.