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Finding the Third Proportional to 84,106 and 128,788

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Solution

The third proportional to 84,106 and 128,788 is: 197,207.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,106 : 128,788 = 128,788 : x
  2. Step 2: Convert to fraction form
    84,106/128,788 = 128,788/x
  3. Step 3: Cross multiply
    84,106x = 128,788 × 128,788
  4. Step 4: Simplify right side
    84,106x = 16,586,348,944
  5. Step 5: Solve for x
    x = 16,586,348,944/84,106
  6. Step 6: Final answer
    x = 197,207.68

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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.