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Finding the Third Proportional to 208,135 and 451,263

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Solution

The third proportional to 208,135 and 451,263 is: 978,395.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,135 : 451,263 = 451,263 : x
  2. Step 2: Convert to fraction form
    208,135/451,263 = 451,263/x
  3. Step 3: Cross multiply
    208,135x = 451,263 × 451,263
  4. Step 4: Simplify right side
    208,135x = 203,638,295,169
  5. Step 5: Solve for x
    x = 203,638,295,169/208,135
  6. Step 6: Final answer
    x = 978,395.25

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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.