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Finding the Third Proportional to 330,588 and 510,948

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Solution

The third proportional to 330,588 and 510,948 is: 789,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,588 : 510,948 = 510,948 : x
  2. Step 2: Convert to fraction form
    330,588/510,948 = 510,948/x
  3. Step 3: Cross multiply
    330,588x = 510,948 × 510,948
  4. Step 4: Simplify right side
    330,588x = 261,067,858,704
  5. Step 5: Solve for x
    x = 261,067,858,704/330,588
  6. Step 6: Final answer
    x = 789,707.61

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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.