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Finding the Third Proportional to 211,166 and 330,579

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Solution

The third proportional to 211,166 and 330,579 is: 517,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,166 : 330,579 = 330,579 : x
  2. Step 2: Convert to fraction form
    211,166/330,579 = 330,579/x
  3. Step 3: Cross multiply
    211,166x = 330,579 × 330,579
  4. Step 4: Simplify right side
    211,166x = 109,282,475,241
  5. Step 5: Solve for x
    x = 109,282,475,241/211,166
  6. Step 6: Final answer
    x = 517,519.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.