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Finding the Third Proportional to 58,798 and 128,171

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Solution

The third proportional to 58,798 and 128,171 is: 279,393.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,798 : 128,171 = 128,171 : x
  2. Step 2: Convert to fraction form
    58,798/128,171 = 128,171/x
  3. Step 3: Cross multiply
    58,798x = 128,171 × 128,171
  4. Step 4: Simplify right side
    58,798x = 16,427,805,241
  5. Step 5: Solve for x
    x = 16,427,805,241/58,798
  6. Step 6: Final answer
    x = 279,393.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.