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Finding the Third Proportional to 133,080 and 205,128

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Solution

The third proportional to 133,080 and 205,128 is: 316,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,080 : 205,128 = 205,128 : x
  2. Step 2: Convert to fraction form
    133,080/205,128 = 205,128/x
  3. Step 3: Cross multiply
    133,080x = 205,128 × 205,128
  4. Step 4: Simplify right side
    133,080x = 42,077,496,384
  5. Step 5: Solve for x
    x = 42,077,496,384/133,080
  6. Step 6: Final answer
    x = 316,181.97

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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.