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Finding the Third Proportional to 262,321 and 577,980

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Solution

The third proportional to 262,321 and 577,980 is: 1,273,481.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,321 : 577,980 = 577,980 : x
  2. Step 2: Convert to fraction form
    262,321/577,980 = 577,980/x
  3. Step 3: Cross multiply
    262,321x = 577,980 × 577,980
  4. Step 4: Simplify right side
    262,321x = 334,060,880,400
  5. Step 5: Solve for x
    x = 334,060,880,400/262,321
  6. Step 6: Final answer
    x = 1,273,481.27

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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.