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Finding the Third Proportional to 211,968 and 448,474.50

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Solution

The third proportional to 211,968 and 448,474.50 is: 948,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,968 : 448,474.50 = 448,474.50 : x
  2. Step 2: Convert to fraction form
    211,968/448,474.50 = 448,474.50/x
  3. Step 3: Cross multiply
    211,968x = 448,474.50 × 448,474.50
  4. Step 4: Simplify right side
    211,968x = 201,129,377,150.25
  5. Step 5: Solve for x
    x = 201,129,377,150.25/211,968
  6. Step 6: Final answer
    x = 948,866.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.