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Finding the Third Proportional to 100,599.75 and 209,463.75

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Solution

The third proportional to 100,599.75 and 209,463.75 is: 436,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,599.75 : 209,463.75 = 209,463.75 : x
  2. Step 2: Convert to fraction form
    100,599.75/209,463.75 = 209,463.75/x
  3. Step 3: Cross multiply
    100,599.75x = 209,463.75 × 209,463.75
  4. Step 4: Simplify right side
    100,599.75x = 43,875,062,564.06
  5. Step 5: Solve for x
    x = 43,875,062,564.06/100,599.75
  6. Step 6: Final answer
    x = 436,134.91

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.