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Finding the Third Proportional to 213,984 and 451,840.50

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Solution

The third proportional to 213,984 and 451,840.50 is: 954,089.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,984 : 451,840.50 = 451,840.50 : x
  2. Step 2: Convert to fraction form
    213,984/451,840.50 = 451,840.50/x
  3. Step 3: Cross multiply
    213,984x = 451,840.50 × 451,840.50
  4. Step 4: Simplify right side
    213,984x = 204,159,837,440.25
  5. Step 5: Solve for x
    x = 204,159,837,440.25/213,984
  6. Step 6: Final answer
    x = 954,089.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.