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Finding the Third Proportional to 118,242 and 242,010

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Solution

The third proportional to 118,242 and 242,010 is: 495,330.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,242 : 242,010 = 242,010 : x
  2. Step 2: Convert to fraction form
    118,242/242,010 = 242,010/x
  3. Step 3: Cross multiply
    118,242x = 242,010 × 242,010
  4. Step 4: Simplify right side
    118,242x = 58,568,840,100
  5. Step 5: Solve for x
    x = 58,568,840,100/118,242
  6. Step 6: Final answer
    x = 495,330.26

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.