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Finding the Third Proportional to 133,824 and 197,040

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Solution

The third proportional to 133,824 and 197,040 is: 290,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824 : 197,040 = 197,040 : x
  2. Step 2: Convert to fraction form
    133,824/197,040 = 197,040/x
  3. Step 3: Cross multiply
    133,824x = 197,040 × 197,040
  4. Step 4: Simplify right side
    133,824x = 38,824,761,600
  5. Step 5: Solve for x
    x = 38,824,761,600/133,824
  6. Step 6: Final answer
    x = 290,118.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.