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Finding the Third Proportional to 134,240 and 197,456

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Solution

The third proportional to 134,240 and 197,456 is: 290,441.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,240 : 197,456 = 197,456 : x
  2. Step 2: Convert to fraction form
    134,240/197,456 = 197,456/x
  3. Step 3: Cross multiply
    134,240x = 197,456 × 197,456
  4. Step 4: Simplify right side
    134,240x = 38,988,871,936
  5. Step 5: Solve for x
    x = 38,988,871,936/134,240
  6. Step 6: Final answer
    x = 290,441.54

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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.