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Finding the Third Proportional to 258,608 and 397,403

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Solution

The third proportional to 258,608 and 397,403 is: 610,689.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,608 : 397,403 = 397,403 : x
  2. Step 2: Convert to fraction form
    258,608/397,403 = 397,403/x
  3. Step 3: Cross multiply
    258,608x = 397,403 × 397,403
  4. Step 4: Simplify right side
    258,608x = 157,929,144,409
  5. Step 5: Solve for x
    x = 157,929,144,409/258,608
  6. Step 6: Final answer
    x = 610,689.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.