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Finding the Third Proportional to 355,380 and 838,929

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Solution

The third proportional to 355,380 and 838,929 is: 1,980,420.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,380 : 838,929 = 838,929 : x
  2. Step 2: Convert to fraction form
    355,380/838,929 = 838,929/x
  3. Step 3: Cross multiply
    355,380x = 838,929 × 838,929
  4. Step 4: Simplify right side
    355,380x = 703,801,867,041
  5. Step 5: Solve for x
    x = 703,801,867,041/355,380
  6. Step 6: Final answer
    x = 1,980,420.58

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.