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Finding the Third Proportional to 170,294 and 257,799

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Solution

The third proportional to 170,294 and 257,799 is: 390,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,294 : 257,799 = 257,799 : x
  2. Step 2: Convert to fraction form
    170,294/257,799 = 257,799/x
  3. Step 3: Cross multiply
    170,294x = 257,799 × 257,799
  4. Step 4: Simplify right side
    170,294x = 66,460,324,401
  5. Step 5: Solve for x
    x = 66,460,324,401/170,294
  6. Step 6: Final answer
    x = 390,268.15

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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.