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Finding the Third Proportional to 208,051 and 448,627

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Solution

The third proportional to 208,051 and 448,627 is: 967,388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,051 : 448,627 = 448,627 : x
  2. Step 2: Convert to fraction form
    208,051/448,627 = 448,627/x
  3. Step 3: Cross multiply
    208,051x = 448,627 × 448,627
  4. Step 4: Simplify right side
    208,051x = 201,266,185,129
  5. Step 5: Solve for x
    x = 201,266,185,129/208,051
  6. Step 6: Final answer
    x = 967,388.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.