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Finding the Third Proportional to 155,453 and 334,690

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Solution

The third proportional to 155,453 and 334,690 is: 720,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,453 : 334,690 = 334,690 : x
  2. Step 2: Convert to fraction form
    155,453/334,690 = 334,690/x
  3. Step 3: Cross multiply
    155,453x = 334,690 × 334,690
  4. Step 4: Simplify right side
    155,453x = 112,017,396,100
  5. Step 5: Solve for x
    x = 112,017,396,100/155,453
  6. Step 6: Final answer
    x = 720,586.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.