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Finding the Third Proportional to 133,080 and 205,127

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Solution

The third proportional to 133,080 and 205,127 is: 316,178.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,080 : 205,127 = 205,127 : x
  2. Step 2: Convert to fraction form
    133,080/205,127 = 205,127/x
  3. Step 3: Cross multiply
    133,080x = 205,127 × 205,127
  4. Step 4: Simplify right side
    133,080x = 42,077,086,129
  5. Step 5: Solve for x
    x = 42,077,086,129/133,080
  6. Step 6: Final answer
    x = 316,178.89

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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.