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Finding the Third Proportional to 170,241 and 257,732

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Solution

The third proportional to 170,241 and 257,732 is: 390,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,241 : 257,732 = 257,732 : x
  2. Step 2: Convert to fraction form
    170,241/257,732 = 257,732/x
  3. Step 3: Cross multiply
    170,241x = 257,732 × 257,732
  4. Step 4: Simplify right side
    170,241x = 66,425,783,824
  5. Step 5: Solve for x
    x = 66,425,783,824/170,241
  6. Step 6: Final answer
    x = 390,186.76

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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.