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Finding the Third Proportional to 198,848 and 307,210

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Solution

The third proportional to 198,848 and 307,210 is: 474,623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,848 : 307,210 = 307,210 : x
  2. Step 2: Convert to fraction form
    198,848/307,210 = 307,210/x
  3. Step 3: Cross multiply
    198,848x = 307,210 × 307,210
  4. Step 4: Simplify right side
    198,848x = 94,377,984,100
  5. Step 5: Solve for x
    x = 94,377,984,100/198,848
  6. Step 6: Final answer
    x = 474,623.75

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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.