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Finding the Third Proportional to 91,454 and 199,666

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Solution

The third proportional to 91,454 and 199,666 is: 435,918.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,454 : 199,666 = 199,666 : x
  2. Step 2: Convert to fraction form
    91,454/199,666 = 199,666/x
  3. Step 3: Cross multiply
    91,454x = 199,666 × 199,666
  4. Step 4: Simplify right side
    91,454x = 39,866,511,556
  5. Step 5: Solve for x
    x = 39,866,511,556/91,454
  6. Step 6: Final answer
    x = 435,918.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.