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Finding the Third Proportional to 99,542.50 and 216,579

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Solution

The third proportional to 99,542.50 and 216,579 is: 471,220.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,542.50 : 216,579 = 216,579 : x
  2. Step 2: Convert to fraction form
    99,542.50/216,579 = 216,579/x
  3. Step 3: Cross multiply
    99,542.50x = 216,579 × 216,579
  4. Step 4: Simplify right side
    99,542.50x = 46,906,463,241
  5. Step 5: Solve for x
    x = 46,906,463,241/99,542.50
  6. Step 6: Final answer
    x = 471,220.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.