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Finding the Third Proportional to 90,643 and 195,865

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Solution

The third proportional to 90,643 and 195,865 is: 423,232.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,643 : 195,865 = 195,865 : x
  2. Step 2: Convert to fraction form
    90,643/195,865 = 195,865/x
  3. Step 3: Cross multiply
    90,643x = 195,865 × 195,865
  4. Step 4: Simplify right side
    90,643x = 38,363,098,225
  5. Step 5: Solve for x
    x = 38,363,098,225/90,643
  6. Step 6: Final answer
    x = 423,232.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.