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Finding the Third Proportional to 154,836 and 339,184

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Solution

The third proportional to 154,836 and 339,184 is: 743,017.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,836 : 339,184 = 339,184 : x
  2. Step 2: Convert to fraction form
    154,836/339,184 = 339,184/x
  3. Step 3: Cross multiply
    154,836x = 339,184 × 339,184
  4. Step 4: Simplify right side
    154,836x = 115,045,785,856
  5. Step 5: Solve for x
    x = 115,045,785,856/154,836
  6. Step 6: Final answer
    x = 743,017.04

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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.