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Finding the Third Proportional to 331,069 and 512,531

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Solution

The third proportional to 331,069 and 512,531 is: 793,454.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,069 : 512,531 = 512,531 : x
  2. Step 2: Convert to fraction form
    331,069/512,531 = 512,531/x
  3. Step 3: Cross multiply
    331,069x = 512,531 × 512,531
  4. Step 4: Simplify right side
    331,069x = 262,688,025,961
  5. Step 5: Solve for x
    x = 262,688,025,961/331,069
  6. Step 6: Final answer
    x = 793,454.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.