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Finding the Third Proportional to 170,664 and 258,348

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Solution

The third proportional to 170,664 and 258,348 is: 391,082.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,664 : 258,348 = 258,348 : x
  2. Step 2: Convert to fraction form
    170,664/258,348 = 258,348/x
  3. Step 3: Cross multiply
    170,664x = 258,348 × 258,348
  4. Step 4: Simplify right side
    170,664x = 66,743,689,104
  5. Step 5: Solve for x
    x = 66,743,689,104/170,664
  6. Step 6: Final answer
    x = 391,082.41

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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.