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Finding the Third Proportional to 84,105 and 128,784

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Solution

The third proportional to 84,105 and 128,784 is: 197,197.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,105 : 128,784 = 128,784 : x
  2. Step 2: Convert to fraction form
    84,105/128,784 = 128,784/x
  3. Step 3: Cross multiply
    84,105x = 128,784 × 128,784
  4. Step 4: Simplify right side
    84,105x = 16,585,318,656
  5. Step 5: Solve for x
    x = 16,585,318,656/84,105
  6. Step 6: Final answer
    x = 197,197.77

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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.