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Finding the Third Proportional to 77,769 and 164,950.50

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Solution

The third proportional to 77,769 and 164,950.50 is: 349,865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,769 : 164,950.50 = 164,950.50 : x
  2. Step 2: Convert to fraction form
    77,769/164,950.50 = 164,950.50/x
  3. Step 3: Cross multiply
    77,769x = 164,950.50 × 164,950.50
  4. Step 4: Simplify right side
    77,769x = 27,208,667,450.25
  5. Step 5: Solve for x
    x = 27,208,667,450.25/77,769
  6. Step 6: Final answer
    x = 349,865.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.