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Finding the Third Proportional to 90,666 and 198,840

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Solution

The third proportional to 90,666 and 198,840 is: 436,076.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,666 : 198,840 = 198,840 : x
  2. Step 2: Convert to fraction form
    90,666/198,840 = 198,840/x
  3. Step 3: Cross multiply
    90,666x = 198,840 × 198,840
  4. Step 4: Simplify right side
    90,666x = 39,537,345,600
  5. Step 5: Solve for x
    x = 39,537,345,600/90,666
  6. Step 6: Final answer
    x = 436,076.87

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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.