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Finding the Third Proportional to 155,888 and 335,814

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Solution

The third proportional to 155,888 and 335,814 is: 723,410.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,888 : 335,814 = 335,814 : x
  2. Step 2: Convert to fraction form
    155,888/335,814 = 335,814/x
  3. Step 3: Cross multiply
    155,888x = 335,814 × 335,814
  4. Step 4: Simplify right side
    155,888x = 112,771,042,596
  5. Step 5: Solve for x
    x = 112,771,042,596/155,888
  6. Step 6: Final answer
    x = 723,410.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.