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Finding the Third Proportional to 229,986 and 355,235

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Solution

The third proportional to 229,986 and 355,235 is: 548,693.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,986 : 355,235 = 355,235 : x
  2. Step 2: Convert to fraction form
    229,986/355,235 = 355,235/x
  3. Step 3: Cross multiply
    229,986x = 355,235 × 355,235
  4. Step 4: Simplify right side
    229,986x = 126,191,905,225
  5. Step 5: Solve for x
    x = 126,191,905,225/229,986
  6. Step 6: Final answer
    x = 548,693.86

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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.