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Finding the Third Proportional to 148,583 and 309,479

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Solution

The third proportional to 148,583 and 309,479 is: 644,604.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,583 : 309,479 = 309,479 : x
  2. Step 2: Convert to fraction form
    148,583/309,479 = 309,479/x
  3. Step 3: Cross multiply
    148,583x = 309,479 × 309,479
  4. Step 4: Simplify right side
    148,583x = 95,777,251,441
  5. Step 5: Solve for x
    x = 95,777,251,441/148,583
  6. Step 6: Final answer
    x = 644,604.37

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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.