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Finding the Third Proportional to 203,164 and 309,276

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Solution

The third proportional to 203,164 and 309,276 is: 470,810.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,164 : 309,276 = 309,276 : x
  2. Step 2: Convert to fraction form
    203,164/309,276 = 309,276/x
  3. Step 3: Cross multiply
    203,164x = 309,276 × 309,276
  4. Step 4: Simplify right side
    203,164x = 95,651,644,176
  5. Step 5: Solve for x
    x = 95,651,644,176/203,164
  6. Step 6: Final answer
    x = 470,810.01

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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.