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Finding the Third Proportional to 397,153 and 606,121

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Solution

The third proportional to 397,153 and 606,121 is: 925,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,153 : 606,121 = 606,121 : x
  2. Step 2: Convert to fraction form
    397,153/606,121 = 606,121/x
  3. Step 3: Cross multiply
    397,153x = 606,121 × 606,121
  4. Step 4: Simplify right side
    397,153x = 367,382,666,641
  5. Step 5: Solve for x
    x = 367,382,666,641/397,153
  6. Step 6: Final answer
    x = 925,040.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.