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Finding the Third Proportional to 83,048 and 128,840

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Solution

The third proportional to 83,048 and 128,840 is: 199,881.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,048 : 128,840 = 128,840 : x
  2. Step 2: Convert to fraction form
    83,048/128,840 = 128,840/x
  3. Step 3: Cross multiply
    83,048x = 128,840 × 128,840
  4. Step 4: Simplify right side
    83,048x = 16,599,745,600
  5. Step 5: Solve for x
    x = 16,599,745,600/83,048
  6. Step 6: Final answer
    x = 199,881.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.