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Finding the Third Proportional to 208,595 and 448,628.50

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Solution

The third proportional to 208,595 and 448,628.50 is: 964,872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,595 : 448,628.50 = 448,628.50 : x
  2. Step 2: Convert to fraction form
    208,595/448,628.50 = 448,628.50/x
  3. Step 3: Cross multiply
    208,595x = 448,628.50 × 448,628.50
  4. Step 4: Simplify right side
    208,595x = 201,267,531,012.25
  5. Step 5: Solve for x
    x = 201,267,531,012.25/208,595
  6. Step 6: Final answer
    x = 964,872.27

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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.