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Finding the Third Proportional to 103,305.38 and 218,821.50

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Solution

The third proportional to 103,305.38 and 218,821.50 is: 463,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,305.38 : 218,821.50 = 218,821.50 : x
  2. Step 2: Convert to fraction form
    103,305.38/218,821.50 = 218,821.50/x
  3. Step 3: Cross multiply
    103,305.38x = 218,821.50 × 218,821.50
  4. Step 4: Simplify right side
    103,305.38x = 47,882,848,862.25
  5. Step 5: Solve for x
    x = 47,882,848,862.25/103,305.38
  6. Step 6: Final answer
    x = 463,507.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.