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Finding the Third Proportional to 208,075 and 449,319

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Solution

The third proportional to 208,075 and 449,319 is: 970,263.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,075 : 449,319 = 449,319 : x
  2. Step 2: Convert to fraction form
    208,075/449,319 = 449,319/x
  3. Step 3: Cross multiply
    208,075x = 449,319 × 449,319
  4. Step 4: Simplify right side
    208,075x = 201,887,563,761
  5. Step 5: Solve for x
    x = 201,887,563,761/208,075
  6. Step 6: Final answer
    x = 970,263.43

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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.