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Finding the Third Proportional to 198,309 and 409,953

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Solution

The third proportional to 198,309 and 409,953 is: 847,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,309 : 409,953 = 409,953 : x
  2. Step 2: Convert to fraction form
    198,309/409,953 = 409,953/x
  3. Step 3: Cross multiply
    198,309x = 409,953 × 409,953
  4. Step 4: Simplify right side
    198,309x = 168,061,462,209
  5. Step 5: Solve for x
    x = 168,061,462,209/198,309
  6. Step 6: Final answer
    x = 847,472.69

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.