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Finding the Third Proportional to 154,820 and 339,145

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Solution

The third proportional to 154,820 and 339,145 is: 742,922.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,820 : 339,145 = 339,145 : x
  2. Step 2: Convert to fraction form
    154,820/339,145 = 339,145/x
  3. Step 3: Cross multiply
    154,820x = 339,145 × 339,145
  4. Step 4: Simplify right side
    154,820x = 115,019,331,025
  5. Step 5: Solve for x
    x = 115,019,331,025/154,820
  6. Step 6: Final answer
    x = 742,922.95

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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.