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Finding the Third Proportional to 150,115 and 319,301

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Solution

The third proportional to 150,115 and 319,301 is: 679,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,115 : 319,301 = 319,301 : x
  2. Step 2: Convert to fraction form
    150,115/319,301 = 319,301/x
  3. Step 3: Cross multiply
    150,115x = 319,301 × 319,301
  4. Step 4: Simplify right side
    150,115x = 101,953,128,601
  5. Step 5: Solve for x
    x = 101,953,128,601/150,115
  6. Step 6: Final answer
    x = 679,166.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.