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Finding the Third Proportional to 90,654 and 199,430

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Solution

The third proportional to 90,654 and 199,430 is: 438,726.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,654 : 199,430 = 199,430 : x
  2. Step 2: Convert to fraction form
    90,654/199,430 = 199,430/x
  3. Step 3: Cross multiply
    90,654x = 199,430 × 199,430
  4. Step 4: Simplify right side
    90,654x = 39,772,324,900
  5. Step 5: Solve for x
    x = 39,772,324,900/90,654
  6. Step 6: Final answer
    x = 438,726.64

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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.