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Finding the Third Proportional to 355,600 and 519,344

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Solution

The third proportional to 355,600 and 519,344 is: 758,487.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,600 : 519,344 = 519,344 : x
  2. Step 2: Convert to fraction form
    355,600/519,344 = 519,344/x
  3. Step 3: Cross multiply
    355,600x = 519,344 × 519,344
  4. Step 4: Simplify right side
    355,600x = 269,718,190,336
  5. Step 5: Solve for x
    x = 269,718,190,336/355,600
  6. Step 6: Final answer
    x = 758,487.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.