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Finding the Third Proportional to 398,610 and 605,295

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Solution

The third proportional to 398,610 and 605,295 is: 919,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,610 : 605,295 = 605,295 : x
  2. Step 2: Convert to fraction form
    398,610/605,295 = 605,295/x
  3. Step 3: Cross multiply
    398,610x = 605,295 × 605,295
  4. Step 4: Simplify right side
    398,610x = 366,382,037,025
  5. Step 5: Solve for x
    x = 366,382,037,025/398,610
  6. Step 6: Final answer
    x = 919,149.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.