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Finding the Third Proportional to 211,821 and 312,803.50

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Solution

The third proportional to 211,821 and 312,803.50 is: 461,927.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,821 : 312,803.50 = 312,803.50 : x
  2. Step 2: Convert to fraction form
    211,821/312,803.50 = 312,803.50/x
  3. Step 3: Cross multiply
    211,821x = 312,803.50 × 312,803.50
  4. Step 4: Simplify right side
    211,821x = 97,846,029,612.25
  5. Step 5: Solve for x
    x = 97,846,029,612.25/211,821
  6. Step 6: Final answer
    x = 461,927.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.