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Finding the Third Proportional to 198,015 and 283,758

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Solution

The third proportional to 198,015 and 283,758 is: 406,628.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,015 : 283,758 = 283,758 : x
  2. Step 2: Convert to fraction form
    198,015/283,758 = 283,758/x
  3. Step 3: Cross multiply
    198,015x = 283,758 × 283,758
  4. Step 4: Simplify right side
    198,015x = 80,518,602,564
  5. Step 5: Solve for x
    x = 80,518,602,564/198,015
  6. Step 6: Final answer
    x = 406,628.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.