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Finding the Third Proportional to 154,806 and 339,138

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Solution

The third proportional to 154,806 and 339,138 is: 742,959.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,806 : 339,138 = 339,138 : x
  2. Step 2: Convert to fraction form
    154,806/339,138 = 339,138/x
  3. Step 3: Cross multiply
    154,806x = 339,138 × 339,138
  4. Step 4: Simplify right side
    154,806x = 115,014,583,044
  5. Step 5: Solve for x
    x = 115,014,583,044/154,806
  6. Step 6: Final answer
    x = 742,959.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.