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Finding the Third Proportional to 155,231 and 339,521

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Solution

The third proportional to 155,231 and 339,521 is: 742,599.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,231 : 339,521 = 339,521 : x
  2. Step 2: Convert to fraction form
    155,231/339,521 = 339,521/x
  3. Step 3: Cross multiply
    155,231x = 339,521 × 339,521
  4. Step 4: Simplify right side
    155,231x = 115,274,509,441
  5. Step 5: Solve for x
    x = 115,274,509,441/155,231
  6. Step 6: Final answer
    x = 742,599.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.