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Finding the Third Proportional to 157,128 and 339,357

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Solution

The third proportional to 157,128 and 339,357 is: 732,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,128 : 339,357 = 339,357 : x
  2. Step 2: Convert to fraction form
    157,128/339,357 = 339,357/x
  3. Step 3: Cross multiply
    157,128x = 339,357 × 339,357
  4. Step 4: Simplify right side
    157,128x = 115,163,173,449
  5. Step 5: Solve for x
    x = 115,163,173,449/157,128
  6. Step 6: Final answer
    x = 732,925.85

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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.