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Finding the Third Proportional to 322,308 and 699,984

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Solution

The third proportional to 322,308 and 699,984 is: 1,520,215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,308 : 699,984 = 699,984 : x
  2. Step 2: Convert to fraction form
    322,308/699,984 = 699,984/x
  3. Step 3: Cross multiply
    322,308x = 699,984 × 699,984
  4. Step 4: Simplify right side
    322,308x = 489,977,600,256
  5. Step 5: Solve for x
    x = 489,977,600,256/322,308
  6. Step 6: Final answer
    x = 1,520,215.45

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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.