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Finding the Third Proportional to 155,242 and 335,395

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Solution

The third proportional to 155,242 and 335,395 is: 724,609.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,242 : 335,395 = 335,395 : x
  2. Step 2: Convert to fraction form
    155,242/335,395 = 335,395/x
  3. Step 3: Cross multiply
    155,242x = 335,395 × 335,395
  4. Step 4: Simplify right side
    155,242x = 112,489,806,025
  5. Step 5: Solve for x
    x = 112,489,806,025/155,242
  6. Step 6: Final answer
    x = 724,609.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.