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Finding the Third Proportional to 198,718 and 307,006

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Solution

The third proportional to 198,718 and 307,006 is: 474,303.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,718 : 307,006 = 307,006 : x
  2. Step 2: Convert to fraction form
    198,718/307,006 = 307,006/x
  3. Step 3: Cross multiply
    198,718x = 307,006 × 307,006
  4. Step 4: Simplify right side
    198,718x = 94,252,684,036
  5. Step 5: Solve for x
    x = 94,252,684,036/198,718
  6. Step 6: Final answer
    x = 474,303.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.