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Finding the Third Proportional to 157,144 and 339,388

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Solution

The third proportional to 157,144 and 339,388 is: 732,985.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,144 : 339,388 = 339,388 : x
  2. Step 2: Convert to fraction form
    157,144/339,388 = 339,388/x
  3. Step 3: Cross multiply
    157,144x = 339,388 × 339,388
  4. Step 4: Simplify right side
    157,144x = 115,184,214,544
  5. Step 5: Solve for x
    x = 115,184,214,544/157,144
  6. Step 6: Final answer
    x = 732,985.13

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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.