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Finding the Third Proportional to 322,920 and 700,272

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Solution

The third proportional to 322,920 and 700,272 is: 1,518,583.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,920 : 700,272 = 700,272 : x
  2. Step 2: Convert to fraction form
    322,920/700,272 = 700,272/x
  3. Step 3: Cross multiply
    322,920x = 700,272 × 700,272
  4. Step 4: Simplify right side
    322,920x = 490,380,873,984
  5. Step 5: Solve for x
    x = 490,380,873,984/322,920
  6. Step 6: Final answer
    x = 1,518,583.16

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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.