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Finding the Third Proportional to 157,089 and 339,086

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Solution

The third proportional to 157,089 and 339,086 is: 731,937.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,089 : 339,086 = 339,086 : x
  2. Step 2: Convert to fraction form
    157,089/339,086 = 339,086/x
  3. Step 3: Cross multiply
    157,089x = 339,086 × 339,086
  4. Step 4: Simplify right side
    157,089x = 114,979,315,396
  5. Step 5: Solve for x
    x = 114,979,315,396/157,089
  6. Step 6: Final answer
    x = 731,937.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.