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Finding the Third Proportional to 155,450 and 411,418

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Solution

The third proportional to 155,450 and 411,418 is: 1,088,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,450 : 411,418 = 411,418 : x
  2. Step 2: Convert to fraction form
    155,450/411,418 = 411,418/x
  3. Step 3: Cross multiply
    155,450x = 411,418 × 411,418
  4. Step 4: Simplify right side
    155,450x = 169,264,770,724
  5. Step 5: Solve for x
    x = 169,264,770,724/155,450
  6. Step 6: Final answer
    x = 1,088,869.54

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.