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Finding the Third Proportional to 147,212 and 311,974

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Solution

The third proportional to 147,212 and 311,974 is: 661,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,212 : 311,974 = 311,974 : x
  2. Step 2: Convert to fraction form
    147,212/311,974 = 311,974/x
  3. Step 3: Cross multiply
    147,212x = 311,974 × 311,974
  4. Step 4: Simplify right side
    147,212x = 97,327,776,676
  5. Step 5: Solve for x
    x = 97,327,776,676/147,212
  6. Step 6: Final answer
    x = 661,140.24

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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.