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Finding the Third Proportional to 213,186 and 355,293

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Solution

The third proportional to 213,186 and 355,293 is: 592,126.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,186 : 355,293 = 355,293 : x
  2. Step 2: Convert to fraction form
    213,186/355,293 = 355,293/x
  3. Step 3: Cross multiply
    213,186x = 355,293 × 355,293
  4. Step 4: Simplify right side
    213,186x = 126,233,115,849
  5. Step 5: Solve for x
    x = 126,233,115,849/213,186
  6. Step 6: Final answer
    x = 592,126.67

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.