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Finding the Third Proportional to 219,466 and 512,809

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Solution

The third proportional to 219,466 and 512,809 is: 1,198,240.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,466 : 512,809 = 512,809 : x
  2. Step 2: Convert to fraction form
    219,466/512,809 = 512,809/x
  3. Step 3: Cross multiply
    219,466x = 512,809 × 512,809
  4. Step 4: Simplify right side
    219,466x = 262,973,070,481
  5. Step 5: Solve for x
    x = 262,973,070,481/219,466
  6. Step 6: Final answer
    x = 1,198,240.60

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.