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Finding the Third Proportional to 198,620 and 432,184

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Solution

The third proportional to 198,620 and 432,184 is: 940,403.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,620 : 432,184 = 432,184 : x
  2. Step 2: Convert to fraction form
    198,620/432,184 = 432,184/x
  3. Step 3: Cross multiply
    198,620x = 432,184 × 432,184
  4. Step 4: Simplify right side
    198,620x = 186,783,009,856
  5. Step 5: Solve for x
    x = 186,783,009,856/198,620
  6. Step 6: Final answer
    x = 940,403.84

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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.