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Finding the Third Proportional to 236,412 and 513,012

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Solution

The third proportional to 236,412 and 513,012 is: 1,113,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,412 : 513,012 = 513,012 : x
  2. Step 2: Convert to fraction form
    236,412/513,012 = 513,012/x
  3. Step 3: Cross multiply
    236,412x = 513,012 × 513,012
  4. Step 4: Simplify right side
    236,412x = 263,181,312,144
  5. Step 5: Solve for x
    x = 263,181,312,144/236,412
  6. Step 6: Final answer
    x = 1,113,231.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.