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Finding the Third Proportional to 157,828 and 339,080

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Solution

The third proportional to 157,828 and 339,080 is: 728,484.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,828 : 339,080 = 339,080 : x
  2. Step 2: Convert to fraction form
    157,828/339,080 = 339,080/x
  3. Step 3: Cross multiply
    157,828x = 339,080 × 339,080
  4. Step 4: Simplify right side
    157,828x = 114,975,246,400
  5. Step 5: Solve for x
    x = 114,975,246,400/157,828
  6. Step 6: Final answer
    x = 728,484.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.