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Finding the Third Proportional to 203,160 and 309,270

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Solution

The third proportional to 203,160 and 309,270 is: 470,801.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,160 : 309,270 = 309,270 : x
  2. Step 2: Convert to fraction form
    203,160/309,270 = 309,270/x
  3. Step 3: Cross multiply
    203,160x = 309,270 × 309,270
  4. Step 4: Simplify right side
    203,160x = 95,647,932,900
  5. Step 5: Solve for x
    x = 95,647,932,900/203,160
  6. Step 6: Final answer
    x = 470,801.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.