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Finding the Third Proportional to 77,109 and 115,021

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Solution

The third proportional to 77,109 and 115,021 is: 171,573.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,109 : 115,021 = 115,021 : x
  2. Step 2: Convert to fraction form
    77,109/115,021 = 115,021/x
  3. Step 3: Cross multiply
    77,109x = 115,021 × 115,021
  4. Step 4: Simplify right side
    77,109x = 13,229,830,441
  5. Step 5: Solve for x
    x = 13,229,830,441/77,109
  6. Step 6: Final answer
    x = 171,573.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.