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Finding the Third Proportional to 59,798 and 128,812

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Solution

The third proportional to 59,798 and 128,812 is: 277,476.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,798 : 128,812 = 128,812 : x
  2. Step 2: Convert to fraction form
    59,798/128,812 = 128,812/x
  3. Step 3: Cross multiply
    59,798x = 128,812 × 128,812
  4. Step 4: Simplify right side
    59,798x = 16,592,531,344
  5. Step 5: Solve for x
    x = 16,592,531,344/59,798
  6. Step 6: Final answer
    x = 277,476.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.