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Finding the Third Proportional to 118,500 and 261,020

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Solution

The third proportional to 118,500 and 261,020 is: 574,948.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,500 : 261,020 = 261,020 : x
  2. Step 2: Convert to fraction form
    118,500/261,020 = 261,020/x
  3. Step 3: Cross multiply
    118,500x = 261,020 × 261,020
  4. Step 4: Simplify right side
    118,500x = 68,131,440,400
  5. Step 5: Solve for x
    x = 68,131,440,400/118,500
  6. Step 6: Final answer
    x = 574,948.86

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.