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Finding the Third Proportional to 170,404 and 257,992

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Solution

The third proportional to 170,404 and 257,992 is: 390,600.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,404 : 257,992 = 257,992 : x
  2. Step 2: Convert to fraction form
    170,404/257,992 = 257,992/x
  3. Step 3: Cross multiply
    170,404x = 257,992 × 257,992
  4. Step 4: Simplify right side
    170,404x = 66,559,872,064
  5. Step 5: Solve for x
    x = 66,559,872,064/170,404
  6. Step 6: Final answer
    x = 390,600.41

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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.