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Finding the Third Proportional to 263,212 and 578,888

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Solution

The third proportional to 263,212 and 578,888 is: 1,273,161.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,212 : 578,888 = 578,888 : x
  2. Step 2: Convert to fraction form
    263,212/578,888 = 578,888/x
  3. Step 3: Cross multiply
    263,212x = 578,888 × 578,888
  4. Step 4: Simplify right side
    263,212x = 335,111,316,544
  5. Step 5: Solve for x
    x = 335,111,316,544/263,212
  6. Step 6: Final answer
    x = 1,273,161.24

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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.