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Finding the Third Proportional to 211,824 and 311,250

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Solution

The third proportional to 211,824 and 311,250 is: 457,344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,824 : 311,250 = 311,250 : x
  2. Step 2: Convert to fraction form
    211,824/311,250 = 311,250/x
  3. Step 3: Cross multiply
    211,824x = 311,250 × 311,250
  4. Step 4: Simplify right side
    211,824x = 96,876,562,500
  5. Step 5: Solve for x
    x = 96,876,562,500/211,824
  6. Step 6: Final answer
    x = 457,344.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.