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Finding the Third Proportional to 133,825 and 195,712

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Solution

The third proportional to 133,825 and 195,712 is: 286,218.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,825 : 195,712 = 195,712 : x
  2. Step 2: Convert to fraction form
    133,825/195,712 = 195,712/x
  3. Step 3: Cross multiply
    133,825x = 195,712 × 195,712
  4. Step 4: Simplify right side
    133,825x = 38,303,186,944
  5. Step 5: Solve for x
    x = 38,303,186,944/133,825
  6. Step 6: Final answer
    x = 286,218.47

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.