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Finding the Third Proportional to 90,647 and 199,417

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Solution

The third proportional to 90,647 and 199,417 is: 438,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,647 : 199,417 = 199,417 : x
  2. Step 2: Convert to fraction form
    90,647/199,417 = 199,417/x
  3. Step 3: Cross multiply
    90,647x = 199,417 × 199,417
  4. Step 4: Simplify right side
    90,647x = 39,767,139,889
  5. Step 5: Solve for x
    x = 39,767,139,889/90,647
  6. Step 6: Final answer
    x = 438,703.32

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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.