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Finding the Third Proportional to 312,824 and 687,860

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Solution

The third proportional to 312,824 and 687,860 is: 1,512,516.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,824 : 687,860 = 687,860 : x
  2. Step 2: Convert to fraction form
    312,824/687,860 = 687,860/x
  3. Step 3: Cross multiply
    312,824x = 687,860 × 687,860
  4. Step 4: Simplify right side
    312,824x = 473,151,379,600
  5. Step 5: Solve for x
    x = 473,151,379,600/312,824
  6. Step 6: Final answer
    x = 1,512,516.24

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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.