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Finding the Third Proportional to 397,890 and 608,454

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Solution

The third proportional to 397,890 and 608,454 is: 930,448.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,890 : 608,454 = 608,454 : x
  2. Step 2: Convert to fraction form
    397,890/608,454 = 608,454/x
  3. Step 3: Cross multiply
    397,890x = 608,454 × 608,454
  4. Step 4: Simplify right side
    397,890x = 370,216,270,116
  5. Step 5: Solve for x
    x = 370,216,270,116/397,890
  6. Step 6: Final answer
    x = 930,448.79

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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.