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Finding the Third Proportional to 211,450.50 and 456,146.44

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Solution

The third proportional to 211,450.50 and 456,146.44 is: 984,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,450.50 : 456,146.44 = 456,146.44 : x
  2. Step 2: Convert to fraction form
    211,450.50/456,146.44 = 456,146.44/x
  3. Step 3: Cross multiply
    211,450.50x = 456,146.44 × 456,146.44
  4. Step 4: Simplify right side
    211,450.50x = 208,069,572,443.94
  5. Step 5: Solve for x
    x = 208,069,572,443.94/211,450.50
  6. Step 6: Final answer
    x = 984,010.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.