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Finding the Third Proportional to 143,244 and 312,164

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Solution

The third proportional to 143,244 and 312,164 is: 680,282.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,244 : 312,164 = 312,164 : x
  2. Step 2: Convert to fraction form
    143,244/312,164 = 312,164/x
  3. Step 3: Cross multiply
    143,244x = 312,164 × 312,164
  4. Step 4: Simplify right side
    143,244x = 97,446,362,896
  5. Step 5: Solve for x
    x = 97,446,362,896/143,244
  6. Step 6: Final answer
    x = 680,282.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.