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Finding the Third Proportional to 157,378 and 339,884

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Solution

The third proportional to 157,378 and 339,884 is: 734,036.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,378 : 339,884 = 339,884 : x
  2. Step 2: Convert to fraction form
    157,378/339,884 = 339,884/x
  3. Step 3: Cross multiply
    157,378x = 339,884 × 339,884
  4. Step 4: Simplify right side
    157,378x = 115,521,133,456
  5. Step 5: Solve for x
    x = 115,521,133,456/157,378
  6. Step 6: Final answer
    x = 734,036.10

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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.