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Finding the Third Proportional to 252,918 and 529,215

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Solution

The third proportional to 252,918 and 529,215 is: 1,107,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,918 : 529,215 = 529,215 : x
  2. Step 2: Convert to fraction form
    252,918/529,215 = 529,215/x
  3. Step 3: Cross multiply
    252,918x = 529,215 × 529,215
  4. Step 4: Simplify right side
    252,918x = 280,068,516,225
  5. Step 5: Solve for x
    x = 280,068,516,225/252,918
  6. Step 6: Final answer
    x = 1,107,349.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.