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Finding the Third Proportional to 157,976 and 347,972

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Solution

The third proportional to 157,976 and 347,972 is: 766,474.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,976 : 347,972 = 347,972 : x
  2. Step 2: Convert to fraction form
    157,976/347,972 = 347,972/x
  3. Step 3: Cross multiply
    157,976x = 347,972 × 347,972
  4. Step 4: Simplify right side
    157,976x = 121,084,512,784
  5. Step 5: Solve for x
    x = 121,084,512,784/157,976
  6. Step 6: Final answer
    x = 766,474.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.