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Finding the Third Proportional to 256,349 and 561,025

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Solution

The third proportional to 256,349 and 561,025 is: 1,227,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,349 : 561,025 = 561,025 : x
  2. Step 2: Convert to fraction form
    256,349/561,025 = 561,025/x
  3. Step 3: Cross multiply
    256,349x = 561,025 × 561,025
  4. Step 4: Simplify right side
    256,349x = 314,749,050,625
  5. Step 5: Solve for x
    x = 314,749,050,625/256,349
  6. Step 6: Final answer
    x = 1,227,814.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.