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Finding the Third Proportional to 210,850 and 308,821

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Solution

The third proportional to 210,850 and 308,821 is: 452,314.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,850 : 308,821 = 308,821 : x
  2. Step 2: Convert to fraction form
    210,850/308,821 = 308,821/x
  3. Step 3: Cross multiply
    210,850x = 308,821 × 308,821
  4. Step 4: Simplify right side
    210,850x = 95,370,410,041
  5. Step 5: Solve for x
    x = 95,370,410,041/210,850
  6. Step 6: Final answer
    x = 452,314.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.