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Finding the Third Proportional to 90,643 and 199,210

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Solution

The third proportional to 90,643 and 199,210 is: 437,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,643 : 199,210 = 199,210 : x
  2. Step 2: Convert to fraction form
    90,643/199,210 = 199,210/x
  3. Step 3: Cross multiply
    90,643x = 199,210 × 199,210
  4. Step 4: Simplify right side
    90,643x = 39,684,624,100
  5. Step 5: Solve for x
    x = 39,684,624,100/90,643
  6. Step 6: Final answer
    x = 437,812.34

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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.