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Finding the Third Proportional to 198,830 and 301,141

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Solution

The third proportional to 198,830 and 301,141 is: 456,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,830 : 301,141 = 301,141 : x
  2. Step 2: Convert to fraction form
    198,830/301,141 = 301,141/x
  3. Step 3: Cross multiply
    198,830x = 301,141 × 301,141
  4. Step 4: Simplify right side
    198,830x = 90,685,901,881
  5. Step 5: Solve for x
    x = 90,685,901,881/198,830
  6. Step 6: Final answer
    x = 456,097.68

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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.