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Finding the Third Proportional to 133,710 and 196,569

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Solution

The third proportional to 133,710 and 196,569 is: 288,978.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,710 : 196,569 = 196,569 : x
  2. Step 2: Convert to fraction form
    133,710/196,569 = 196,569/x
  3. Step 3: Cross multiply
    133,710x = 196,569 × 196,569
  4. Step 4: Simplify right side
    133,710x = 38,639,371,761
  5. Step 5: Solve for x
    x = 38,639,371,761/133,710
  6. Step 6: Final answer
    x = 288,978.92

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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.