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Finding the Third Proportional to 202,086 and 316,089

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Solution

The third proportional to 202,086 and 316,089 is: 494,404.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,086 : 316,089 = 316,089 : x
  2. Step 2: Convert to fraction form
    202,086/316,089 = 316,089/x
  3. Step 3: Cross multiply
    202,086x = 316,089 × 316,089
  4. Step 4: Simplify right side
    202,086x = 99,912,255,921
  5. Step 5: Solve for x
    x = 99,912,255,921/202,086
  6. Step 6: Final answer
    x = 494,404.64

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.