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Finding the Third Proportional to 157,889 and 339,202

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Solution

The third proportional to 157,889 and 339,202 is: 728,727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,889 : 339,202 = 339,202 : x
  2. Step 2: Convert to fraction form
    157,889/339,202 = 339,202/x
  3. Step 3: Cross multiply
    157,889x = 339,202 × 339,202
  4. Step 4: Simplify right side
    157,889x = 115,057,996,804
  5. Step 5: Solve for x
    x = 115,057,996,804/157,889
  6. Step 6: Final answer
    x = 728,727.12

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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.