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Finding the Third Proportional to 148,539 and 309,317

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Solution

The third proportional to 148,539 and 309,317 is: 644,120.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,539 : 309,317 = 309,317 : x
  2. Step 2: Convert to fraction form
    148,539/309,317 = 309,317/x
  3. Step 3: Cross multiply
    148,539x = 309,317 × 309,317
  4. Step 4: Simplify right side
    148,539x = 95,677,006,489
  5. Step 5: Solve for x
    x = 95,677,006,489/148,539
  6. Step 6: Final answer
    x = 644,120.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.