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Finding the Third Proportional to 330,413 and 511,208

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Solution

The third proportional to 330,413 and 511,208 is: 790,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,413 : 511,208 = 511,208 : x
  2. Step 2: Convert to fraction form
    330,413/511,208 = 511,208/x
  3. Step 3: Cross multiply
    330,413x = 511,208 × 511,208
  4. Step 4: Simplify right side
    330,413x = 261,333,619,264
  5. Step 5: Solve for x
    x = 261,333,619,264/330,413
  6. Step 6: Final answer
    x = 790,930.20

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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.