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Finding the Third Proportional to 155,207 and 338,845

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Solution

The third proportional to 155,207 and 338,845 is: 739,760.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,207 : 338,845 = 338,845 : x
  2. Step 2: Convert to fraction form
    155,207/338,845 = 338,845/x
  3. Step 3: Cross multiply
    155,207x = 338,845 × 338,845
  4. Step 4: Simplify right side
    155,207x = 114,815,934,025
  5. Step 5: Solve for x
    x = 114,815,934,025/155,207
  6. Step 6: Final answer
    x = 739,760.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.