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Finding the Third Proportional to 171,574 and 258,623

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Solution

The third proportional to 171,574 and 258,623 is: 389,836.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,574 : 258,623 = 258,623 : x
  2. Step 2: Convert to fraction form
    171,574/258,623 = 258,623/x
  3. Step 3: Cross multiply
    171,574x = 258,623 × 258,623
  4. Step 4: Simplify right side
    171,574x = 66,885,856,129
  5. Step 5: Solve for x
    x = 66,885,856,129/171,574
  6. Step 6: Final answer
    x = 389,836.78

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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.