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Finding the Third Proportional to 208,512 and 446,548.50

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Solution

The third proportional to 208,512 and 446,548.50 is: 956,326.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,512 : 446,548.50 = 446,548.50 : x
  2. Step 2: Convert to fraction form
    208,512/446,548.50 = 446,548.50/x
  3. Step 3: Cross multiply
    208,512x = 446,548.50 × 446,548.50
  4. Step 4: Simplify right side
    208,512x = 199,405,562,852.25
  5. Step 5: Solve for x
    x = 199,405,562,852.25/208,512
  6. Step 6: Final answer
    x = 956,326.56

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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.