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Finding the Third Proportional to 253,811 and 564,356

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Solution

The third proportional to 253,811 and 564,356 is: 1,254,861.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,811 : 564,356 = 564,356 : x
  2. Step 2: Convert to fraction form
    253,811/564,356 = 564,356/x
  3. Step 3: Cross multiply
    253,811x = 564,356 × 564,356
  4. Step 4: Simplify right side
    253,811x = 318,497,694,736
  5. Step 5: Solve for x
    x = 318,497,694,736/253,811
  6. Step 6: Final answer
    x = 1,254,861.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.