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Finding the Third Proportional to 331,566 and 512,037

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Solution

The third proportional to 331,566 and 512,037 is: 790,738.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,566 : 512,037 = 512,037 : x
  2. Step 2: Convert to fraction form
    331,566/512,037 = 512,037/x
  3. Step 3: Cross multiply
    331,566x = 512,037 × 512,037
  4. Step 4: Simplify right side
    331,566x = 262,181,889,369
  5. Step 5: Solve for x
    x = 262,181,889,369/331,566
  6. Step 6: Final answer
    x = 790,738.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.