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Finding the Third Proportional to 170,322 and 257,841

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Solution

The third proportional to 170,322 and 257,841 is: 390,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,322 : 257,841 = 257,841 : x
  2. Step 2: Convert to fraction form
    170,322/257,841 = 257,841/x
  3. Step 3: Cross multiply
    170,322x = 257,841 × 257,841
  4. Step 4: Simplify right side
    170,322x = 66,481,981,281
  5. Step 5: Solve for x
    x = 66,481,981,281/170,322
  6. Step 6: Final answer
    x = 390,331.15

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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.