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Finding the Third Proportional to 253,650 and 393,299

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Solution

The third proportional to 253,650 and 393,299 is: 609,832.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,650 : 393,299 = 393,299 : x
  2. Step 2: Convert to fraction form
    253,650/393,299 = 393,299/x
  3. Step 3: Cross multiply
    253,650x = 393,299 × 393,299
  4. Step 4: Simplify right side
    253,650x = 154,684,103,401
  5. Step 5: Solve for x
    x = 154,684,103,401/253,650
  6. Step 6: Final answer
    x = 609,832.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.