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Finding the Third Proportional to 228,147 and 355,116

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Solution

The third proportional to 228,147 and 355,116 is: 552,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,147 : 355,116 = 355,116 : x
  2. Step 2: Convert to fraction form
    228,147/355,116 = 355,116/x
  3. Step 3: Cross multiply
    228,147x = 355,116 × 355,116
  4. Step 4: Simplify right side
    228,147x = 126,107,373,456
  5. Step 5: Solve for x
    x = 126,107,373,456/228,147
  6. Step 6: Final answer
    x = 552,746.14

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.