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Finding the Third Proportional to 143,078 and 212,925

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Solution

The third proportional to 143,078 and 212,925 is: 316,869.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,078 : 212,925 = 212,925 : x
  2. Step 2: Convert to fraction form
    143,078/212,925 = 212,925/x
  3. Step 3: Cross multiply
    143,078x = 212,925 × 212,925
  4. Step 4: Simplify right side
    143,078x = 45,337,055,625
  5. Step 5: Solve for x
    x = 45,337,055,625/143,078
  6. Step 6: Final answer
    x = 316,869.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.