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Finding the Third Proportional to 100,040 and 213,472

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Solution

The third proportional to 100,040 and 213,472 is: 455,520.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,040 : 213,472 = 213,472 : x
  2. Step 2: Convert to fraction form
    100,040/213,472 = 213,472/x
  3. Step 3: Cross multiply
    100,040x = 213,472 × 213,472
  4. Step 4: Simplify right side
    100,040x = 45,570,294,784
  5. Step 5: Solve for x
    x = 45,570,294,784/100,040
  6. Step 6: Final answer
    x = 455,520.74

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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.