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Finding the Third Proportional to 257,060,880 and 566,269,344

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Solution

The third proportional to 257,060,880 and 566,269,344 is: 1,247,412,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,060,880 : 566,269,344 = 566,269,344 : x
  2. Step 2: Convert to fraction form
    257,060,880/566,269,344 = 566,269,344/x
  3. Step 3: Cross multiply
    257,060,880x = 566,269,344 × 566,269,344
  4. Step 4: Simplify right side
    257,060,880x = 320,660,969,954,190,336
  5. Step 5: Solve for x
    x = 320,660,969,954,190,336/257,060,880
  6. Step 6: Final answer
    x = 1,247,412,558.28

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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.