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Finding the Third Proportional to 147,163.50 and 311,859

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Solution

The third proportional to 147,163.50 and 311,859 is: 660,870.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,163.50 : 311,859 = 311,859 : x
  2. Step 2: Convert to fraction form
    147,163.50/311,859 = 311,859/x
  3. Step 3: Cross multiply
    147,163.50x = 311,859 × 311,859
  4. Step 4: Simplify right side
    147,163.50x = 97,256,035,881
  5. Step 5: Solve for x
    x = 97,256,035,881/147,163.50
  6. Step 6: Final answer
    x = 660,870.64

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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.