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Finding the Third Proportional to 198,266 and 307,104

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Solution

The third proportional to 198,266 and 307,104 is: 475,688.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,266 : 307,104 = 307,104 : x
  2. Step 2: Convert to fraction form
    198,266/307,104 = 307,104/x
  3. Step 3: Cross multiply
    198,266x = 307,104 × 307,104
  4. Step 4: Simplify right side
    198,266x = 94,312,866,816
  5. Step 5: Solve for x
    x = 94,312,866,816/198,266
  6. Step 6: Final answer
    x = 475,688.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.