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Finding the Third Proportional to 198,642 and 432,308

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Solution

The third proportional to 198,642 and 432,308 is: 940,839.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,642 : 432,308 = 432,308 : x
  2. Step 2: Convert to fraction form
    198,642/432,308 = 432,308/x
  3. Step 3: Cross multiply
    198,642x = 432,308 × 432,308
  4. Step 4: Simplify right side
    198,642x = 186,890,206,864
  5. Step 5: Solve for x
    x = 186,890,206,864/198,642
  6. Step 6: Final answer
    x = 940,839.33

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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.