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Finding the Third Proportional to 170,504 and 258,123

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Solution

The third proportional to 170,504 and 258,123 is: 390,767.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,504 : 258,123 = 258,123 : x
  2. Step 2: Convert to fraction form
    170,504/258,123 = 258,123/x
  3. Step 3: Cross multiply
    170,504x = 258,123 × 258,123
  4. Step 4: Simplify right side
    170,504x = 66,627,483,129
  5. Step 5: Solve for x
    x = 66,627,483,129/170,504
  6. Step 6: Final answer
    x = 390,767.86

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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.