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Finding the Third Proportional to 206,135 and 453,642

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Solution

The third proportional to 206,135 and 453,642 is: 998,331.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,135 : 453,642 = 453,642 : x
  2. Step 2: Convert to fraction form
    206,135/453,642 = 453,642/x
  3. Step 3: Cross multiply
    206,135x = 453,642 × 453,642
  4. Step 4: Simplify right side
    206,135x = 205,791,064,164
  5. Step 5: Solve for x
    x = 205,791,064,164/206,135
  6. Step 6: Final answer
    x = 998,331.50

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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.