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Finding the Third Proportional to 213,059 and 455,668

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Solution

The third proportional to 213,059 and 455,668 is: 974,534.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,059 : 455,668 = 455,668 : x
  2. Step 2: Convert to fraction form
    213,059/455,668 = 455,668/x
  3. Step 3: Cross multiply
    213,059x = 455,668 × 455,668
  4. Step 4: Simplify right side
    213,059x = 207,633,326,224
  5. Step 5: Solve for x
    x = 207,633,326,224/213,059
  6. Step 6: Final answer
    x = 974,534.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.