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Finding the Third Proportional to 90,646.50 and 199,239

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Solution

The third proportional to 90,646.50 and 199,239 is: 437,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,646.50 : 199,239 = 199,239 : x
  2. Step 2: Convert to fraction form
    90,646.50/199,239 = 199,239/x
  3. Step 3: Cross multiply
    90,646.50x = 199,239 × 199,239
  4. Step 4: Simplify right side
    90,646.50x = 39,696,179,121
  5. Step 5: Solve for x
    x = 39,696,179,121/90,646.50
  6. Step 6: Final answer
    x = 437,922.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.