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Finding the Third Proportional to 118,621 and 261,013

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Solution

The third proportional to 118,621 and 261,013 is: 574,331.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,621 : 261,013 = 261,013 : x
  2. Step 2: Convert to fraction form
    118,621/261,013 = 261,013/x
  3. Step 3: Cross multiply
    118,621x = 261,013 × 261,013
  4. Step 4: Simplify right side
    118,621x = 68,127,786,169
  5. Step 5: Solve for x
    x = 68,127,786,169/118,621
  6. Step 6: Final answer
    x = 574,331.58

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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.