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Finding the Third Proportional to 170,616 and 258,273

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Solution

The third proportional to 170,616 and 258,273 is: 390,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,616 : 258,273 = 258,273 : x
  2. Step 2: Convert to fraction form
    170,616/258,273 = 258,273/x
  3. Step 3: Cross multiply
    170,616x = 258,273 × 258,273
  4. Step 4: Simplify right side
    170,616x = 66,704,942,529
  5. Step 5: Solve for x
    x = 66,704,942,529/170,616
  6. Step 6: Final answer
    x = 390,965.34

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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.