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Finding the Third Proportional to 210,085 and 449,702

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Solution

The third proportional to 210,085 and 449,702 is: 962,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,085 : 449,702 = 449,702 : x
  2. Step 2: Convert to fraction form
    210,085/449,702 = 449,702/x
  3. Step 3: Cross multiply
    210,085x = 449,702 × 449,702
  4. Step 4: Simplify right side
    210,085x = 202,231,888,804
  5. Step 5: Solve for x
    x = 202,231,888,804/210,085
  6. Step 6: Final answer
    x = 962,619.36

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.