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Finding the Third Proportional to 77,314.50 and 164,754

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Solution

The third proportional to 77,314.50 and 164,754 is: 351,083.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,314.50 : 164,754 = 164,754 : x
  2. Step 2: Convert to fraction form
    77,314.50/164,754 = 164,754/x
  3. Step 3: Cross multiply
    77,314.50x = 164,754 × 164,754
  4. Step 4: Simplify right side
    77,314.50x = 27,143,880,516
  5. Step 5: Solve for x
    x = 27,143,880,516/77,314.50
  6. Step 6: Final answer
    x = 351,083.96

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.