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Finding the Third Proportional to 198,952 and 300,348

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Solution

The third proportional to 198,952 and 300,348 is: 453,420.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,952 : 300,348 = 300,348 : x
  2. Step 2: Convert to fraction form
    198,952/300,348 = 300,348/x
  3. Step 3: Cross multiply
    198,952x = 300,348 × 300,348
  4. Step 4: Simplify right side
    198,952x = 90,208,921,104
  5. Step 5: Solve for x
    x = 90,208,921,104/198,952
  6. Step 6: Final answer
    x = 453,420.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.