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Finding the Third Proportional to 103,690.50 and 211,754.25

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Solution

The third proportional to 103,690.50 and 211,754.25 is: 432,439.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,690.50 : 211,754.25 = 211,754.25 : x
  2. Step 2: Convert to fraction form
    103,690.50/211,754.25 = 211,754.25/x
  3. Step 3: Cross multiply
    103,690.50x = 211,754.25 × 211,754.25
  4. Step 4: Simplify right side
    103,690.50x = 44,839,862,393.06
  5. Step 5: Solve for x
    x = 44,839,862,393.06/103,690.50
  6. Step 6: Final answer
    x = 432,439.45

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.