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Finding the Third Proportional to 100,290 and 213,576

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Solution

The third proportional to 100,290 and 213,576 is: 454,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,290 : 213,576 = 213,576 : x
  2. Step 2: Convert to fraction form
    100,290/213,576 = 213,576/x
  3. Step 3: Cross multiply
    100,290x = 213,576 × 213,576
  4. Step 4: Simplify right side
    100,290x = 45,614,707,776
  5. Step 5: Solve for x
    x = 45,614,707,776/100,290
  6. Step 6: Final answer
    x = 454,828.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.