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Finding the Third Proportional to 154,740 and 338,640

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Solution

The third proportional to 154,740 and 338,640 is: 741,095.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,740 : 338,640 = 338,640 : x
  2. Step 2: Convert to fraction form
    154,740/338,640 = 338,640/x
  3. Step 3: Cross multiply
    154,740x = 338,640 × 338,640
  4. Step 4: Simplify right side
    154,740x = 114,677,049,600
  5. Step 5: Solve for x
    x = 114,677,049,600/154,740
  6. Step 6: Final answer
    x = 741,095.06

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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.