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Finding the Third Proportional to 83,808 and 128,628

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Solution

The third proportional to 83,808 and 128,628 is: 197,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,808 : 128,628 = 128,628 : x
  2. Step 2: Convert to fraction form
    83,808/128,628 = 128,628/x
  3. Step 3: Cross multiply
    83,808x = 128,628 × 128,628
  4. Step 4: Simplify right side
    83,808x = 16,545,162,384
  5. Step 5: Solve for x
    x = 16,545,162,384/83,808
  6. Step 6: Final answer
    x = 197,417.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.