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Finding the Third Proportional to 157,980 and 341,520

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Solution

The third proportional to 157,980 and 341,520 is: 738,295.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,980 : 341,520 = 341,520 : x
  2. Step 2: Convert to fraction form
    157,980/341,520 = 341,520/x
  3. Step 3: Cross multiply
    157,980x = 341,520 × 341,520
  4. Step 4: Simplify right side
    157,980x = 116,635,910,400
  5. Step 5: Solve for x
    x = 116,635,910,400/157,980
  6. Step 6: Final answer
    x = 738,295.42

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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.