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Finding the Third Proportional to 170,396 and 257,981

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Solution

The third proportional to 170,396 and 257,981 is: 390,585.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,396 : 257,981 = 257,981 : x
  2. Step 2: Convert to fraction form
    170,396/257,981 = 257,981/x
  3. Step 3: Cross multiply
    170,396x = 257,981 × 257,981
  4. Step 4: Simplify right side
    170,396x = 66,554,196,361
  5. Step 5: Solve for x
    x = 66,554,196,361/170,396
  6. Step 6: Final answer
    x = 390,585.44

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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.