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Finding the Third Proportional to 229,960 and 355,218

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Solution

The third proportional to 229,960 and 355,218 is: 548,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,960 : 355,218 = 355,218 : x
  2. Step 2: Convert to fraction form
    229,960/355,218 = 355,218/x
  3. Step 3: Cross multiply
    229,960x = 355,218 × 355,218
  4. Step 4: Simplify right side
    229,960x = 126,179,827,524
  5. Step 5: Solve for x
    x = 126,179,827,524/229,960
  6. Step 6: Final answer
    x = 548,703.37

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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.