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Finding the Third Proportional to 79,364 and 107,786

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Solution

The third proportional to 79,364 and 107,786 is: 146,386.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,364 : 107,786 = 107,786 : x
  2. Step 2: Convert to fraction form
    79,364/107,786 = 107,786/x
  3. Step 3: Cross multiply
    79,364x = 107,786 × 107,786
  4. Step 4: Simplify right side
    79,364x = 11,617,821,796
  5. Step 5: Solve for x
    x = 11,617,821,796/79,364
  6. Step 6: Final answer
    x = 146,386.55

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.