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Finding the Third Proportional to 236,720 and 512,836

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Solution

The third proportional to 236,720 and 512,836 is: 1,111,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,720 : 512,836 = 512,836 : x
  2. Step 2: Convert to fraction form
    236,720/512,836 = 512,836/x
  3. Step 3: Cross multiply
    236,720x = 512,836 × 512,836
  4. Step 4: Simplify right side
    236,720x = 263,000,762,896
  5. Step 5: Solve for x
    x = 263,000,762,896/236,720
  6. Step 6: Final answer
    x = 1,111,020.46

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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.