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Finding the Third Proportional to 118,220 and 262,680

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Solution

The third proportional to 118,220 and 262,680 is: 583,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,220 : 262,680 = 262,680 : x
  2. Step 2: Convert to fraction form
    118,220/262,680 = 262,680/x
  3. Step 3: Cross multiply
    118,220x = 262,680 × 262,680
  4. Step 4: Simplify right side
    118,220x = 69,000,782,400
  5. Step 5: Solve for x
    x = 69,000,782,400/118,220
  6. Step 6: Final answer
    x = 583,664.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.