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Finding the Third Proportional to 90,580 and 198,652

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Solution

The third proportional to 90,580 and 198,652 is: 435,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,580 : 198,652 = 198,652 : x
  2. Step 2: Convert to fraction form
    90,580/198,652 = 198,652/x
  3. Step 3: Cross multiply
    90,580x = 198,652 × 198,652
  4. Step 4: Simplify right side
    90,580x = 39,462,617,104
  5. Step 5: Solve for x
    x = 39,462,617,104/90,580
  6. Step 6: Final answer
    x = 435,665.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.