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Finding the Third Proportional to 253,199 and 388,254

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Solution

The third proportional to 253,199 and 388,254 is: 595,346.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,199 : 388,254 = 388,254 : x
  2. Step 2: Convert to fraction form
    253,199/388,254 = 388,254/x
  3. Step 3: Cross multiply
    253,199x = 388,254 × 388,254
  4. Step 4: Simplify right side
    253,199x = 150,741,168,516
  5. Step 5: Solve for x
    x = 150,741,168,516/253,199
  6. Step 6: Final answer
    x = 595,346.62

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.