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Finding the Third Proportional to 197,304 and 309,178

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Solution

The third proportional to 197,304 and 309,178 is: 484,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,304 : 309,178 = 309,178 : x
  2. Step 2: Convert to fraction form
    197,304/309,178 = 309,178/x
  3. Step 3: Cross multiply
    197,304x = 309,178 × 309,178
  4. Step 4: Simplify right side
    197,304x = 95,591,035,684
  5. Step 5: Solve for x
    x = 95,591,035,684/197,304
  6. Step 6: Final answer
    x = 484,486.05

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.