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Finding the Third Proportional to 134,976 and 214,520

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Solution

The third proportional to 134,976 and 214,520 is: 340,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,976 : 214,520 = 214,520 : x
  2. Step 2: Convert to fraction form
    134,976/214,520 = 214,520/x
  3. Step 3: Cross multiply
    134,976x = 214,520 × 214,520
  4. Step 4: Simplify right side
    134,976x = 46,018,830,400
  5. Step 5: Solve for x
    x = 46,018,830,400/134,976
  6. Step 6: Final answer
    x = 340,940.84

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.