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Finding the Third Proportional to 270,303 and 405,455

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Solution

The third proportional to 270,303 and 405,455 is: 608,183.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,303 : 405,455 = 405,455 : x
  2. Step 2: Convert to fraction form
    270,303/405,455 = 405,455/x
  3. Step 3: Cross multiply
    270,303x = 405,455 × 405,455
  4. Step 4: Simplify right side
    270,303x = 164,393,757,025
  5. Step 5: Solve for x
    x = 164,393,757,025/270,303
  6. Step 6: Final answer
    x = 608,183.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.