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Finding the Third Proportional to 213,180 and 355,284

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Solution

The third proportional to 213,180 and 355,284 is: 592,113.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,180 : 355,284 = 355,284 : x
  2. Step 2: Convert to fraction form
    213,180/355,284 = 355,284/x
  3. Step 3: Cross multiply
    213,180x = 355,284 × 355,284
  4. Step 4: Simplify right side
    213,180x = 126,226,720,656
  5. Step 5: Solve for x
    x = 126,226,720,656/213,180
  6. Step 6: Final answer
    x = 592,113.33

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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.