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Finding the Third Proportional to 133,074 and 205,118

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Solution

The third proportional to 133,074 and 205,118 is: 316,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,074 : 205,118 = 205,118 : x
  2. Step 2: Convert to fraction form
    133,074/205,118 = 205,118/x
  3. Step 3: Cross multiply
    133,074x = 205,118 × 205,118
  4. Step 4: Simplify right side
    133,074x = 42,073,393,924
  5. Step 5: Solve for x
    x = 42,073,393,924/133,074
  6. Step 6: Final answer
    x = 316,165.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.