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Finding the Third Proportional to 230,370 and 355,395

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Solution

The third proportional to 230,370 and 355,395 is: 548,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,370 : 355,395 = 355,395 : x
  2. Step 2: Convert to fraction form
    230,370/355,395 = 355,395/x
  3. Step 3: Cross multiply
    230,370x = 355,395 × 355,395
  4. Step 4: Simplify right side
    230,370x = 126,305,606,025
  5. Step 5: Solve for x
    x = 126,305,606,025/230,370
  6. Step 6: Final answer
    x = 548,272.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.