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Finding the Third Proportional to 157,159 and 339,211

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Solution

The third proportional to 157,159 and 339,211 is: 732,150.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,159 : 339,211 = 339,211 : x
  2. Step 2: Convert to fraction form
    157,159/339,211 = 339,211/x
  3. Step 3: Cross multiply
    157,159x = 339,211 × 339,211
  4. Step 4: Simplify right side
    157,159x = 115,064,102,521
  5. Step 5: Solve for x
    x = 115,064,102,521/157,159
  6. Step 6: Final answer
    x = 732,150.90

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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.