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Finding the Third Proportional to 210,773 and 456,812

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Solution

The third proportional to 210,773 and 456,812 is: 990,056.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,773 : 456,812 = 456,812 : x
  2. Step 2: Convert to fraction form
    210,773/456,812 = 456,812/x
  3. Step 3: Cross multiply
    210,773x = 456,812 × 456,812
  4. Step 4: Simplify right side
    210,773x = 208,677,203,344
  5. Step 5: Solve for x
    x = 208,677,203,344/210,773
  6. Step 6: Final answer
    x = 990,056.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.