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Finding the Third Proportional to 236,981 and 513,328

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Solution

The third proportional to 236,981 and 513,328 is: 1,111,927.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,981 : 513,328 = 513,328 : x
  2. Step 2: Convert to fraction form
    236,981/513,328 = 513,328/x
  3. Step 3: Cross multiply
    236,981x = 513,328 × 513,328
  4. Step 4: Simplify right side
    236,981x = 263,505,635,584
  5. Step 5: Solve for x
    x = 263,505,635,584/236,981
  6. Step 6: Final answer
    x = 1,111,927.27

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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.