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Finding the Third Proportional to 143,550 and 312,930

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Solution

The third proportional to 143,550 and 312,930 is: 682,167.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,550 : 312,930 = 312,930 : x
  2. Step 2: Convert to fraction form
    143,550/312,930 = 312,930/x
  3. Step 3: Cross multiply
    143,550x = 312,930 × 312,930
  4. Step 4: Simplify right side
    143,550x = 97,925,184,900
  5. Step 5: Solve for x
    x = 97,925,184,900/143,550
  6. Step 6: Final answer
    x = 682,167.78

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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.