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Finding the Third Proportional to 83,900 and 128,037

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Solution

The third proportional to 83,900 and 128,037 is: 195,393.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,900 : 128,037 = 128,037 : x
  2. Step 2: Convert to fraction form
    83,900/128,037 = 128,037/x
  3. Step 3: Cross multiply
    83,900x = 128,037 × 128,037
  4. Step 4: Simplify right side
    83,900x = 16,393,473,369
  5. Step 5: Solve for x
    x = 16,393,473,369/83,900
  6. Step 6: Final answer
    x = 195,393.01

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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.