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Finding the Third Proportional to 219,266 and 512,645

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Solution

The third proportional to 219,266 and 512,645 is: 1,198,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,266 : 512,645 = 512,645 : x
  2. Step 2: Convert to fraction form
    219,266/512,645 = 512,645/x
  3. Step 3: Cross multiply
    219,266x = 512,645 × 512,645
  4. Step 4: Simplify right side
    219,266x = 262,804,896,025
  5. Step 5: Solve for x
    x = 262,804,896,025/219,266
  6. Step 6: Final answer
    x = 1,198,566.56

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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.