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Finding the Third Proportional to 99,426 and 213,576

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Solution

The third proportional to 99,426 and 213,576 is: 458,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,426 : 213,576 = 213,576 : x
  2. Step 2: Convert to fraction form
    99,426/213,576 = 213,576/x
  3. Step 3: Cross multiply
    99,426x = 213,576 × 213,576
  4. Step 4: Simplify right side
    99,426x = 45,614,707,776
  5. Step 5: Solve for x
    x = 45,614,707,776/99,426
  6. Step 6: Final answer
    x = 458,780.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.