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Finding the Third Proportional to 154,056 and 207,912

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Solution

The third proportional to 154,056 and 207,912 is: 280,595.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,056 : 207,912 = 207,912 : x
  2. Step 2: Convert to fraction form
    154,056/207,912 = 207,912/x
  3. Step 3: Cross multiply
    154,056x = 207,912 × 207,912
  4. Step 4: Simplify right side
    154,056x = 43,227,399,744
  5. Step 5: Solve for x
    x = 43,227,399,744/154,056
  6. Step 6: Final answer
    x = 280,595.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.