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Finding the Third Proportional to 254,189 and 529,431

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Solution

The third proportional to 254,189 and 529,431 is: 1,102,711.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,189 : 529,431 = 529,431 : x
  2. Step 2: Convert to fraction form
    254,189/529,431 = 529,431/x
  3. Step 3: Cross multiply
    254,189x = 529,431 × 529,431
  4. Step 4: Simplify right side
    254,189x = 280,297,183,761
  5. Step 5: Solve for x
    x = 280,297,183,761/254,189
  6. Step 6: Final answer
    x = 1,102,711.70

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.