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Finding the Third Proportional to 397,668 and 602,290

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Solution

The third proportional to 397,668 and 602,290 is: 912,201.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,668 : 602,290 = 602,290 : x
  2. Step 2: Convert to fraction form
    397,668/602,290 = 602,290/x
  3. Step 3: Cross multiply
    397,668x = 602,290 × 602,290
  4. Step 4: Simplify right side
    397,668x = 362,753,244,100
  5. Step 5: Solve for x
    x = 362,753,244,100/397,668
  6. Step 6: Final answer
    x = 912,201.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.