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Finding the Third Proportional to 170,401 and 257,989

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Solution

The third proportional to 170,401 and 257,989 is: 390,598.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,401 : 257,989 = 257,989 : x
  2. Step 2: Convert to fraction form
    170,401/257,989 = 257,989/x
  3. Step 3: Cross multiply
    170,401x = 257,989 × 257,989
  4. Step 4: Simplify right side
    170,401x = 66,558,324,121
  5. Step 5: Solve for x
    x = 66,558,324,121/170,401
  6. Step 6: Final answer
    x = 390,598.20

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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.