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Finding the Third Proportional to 58,077 and 127,221

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Solution

The third proportional to 58,077 and 127,221 is: 278,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,077 : 127,221 = 127,221 : x
  2. Step 2: Convert to fraction form
    58,077/127,221 = 127,221/x
  3. Step 3: Cross multiply
    58,077x = 127,221 × 127,221
  4. Step 4: Simplify right side
    58,077x = 16,185,182,841
  5. Step 5: Solve for x
    x = 16,185,182,841/58,077
  6. Step 6: Final answer
    x = 278,684.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.