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Finding the Third Proportional to 198,508 and 432,006

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Solution

The third proportional to 198,508 and 432,006 is: 940,159.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,508 : 432,006 = 432,006 : x
  2. Step 2: Convert to fraction form
    198,508/432,006 = 432,006/x
  3. Step 3: Cross multiply
    198,508x = 432,006 × 432,006
  4. Step 4: Simplify right side
    198,508x = 186,629,184,036
  5. Step 5: Solve for x
    x = 186,629,184,036/198,508
  6. Step 6: Final answer
    x = 940,159.51

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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.