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Finding the Third Proportional to 343,571 and 513,777

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Solution

The third proportional to 343,571 and 513,777 is: 768,303.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,571 : 513,777 = 513,777 : x
  2. Step 2: Convert to fraction form
    343,571/513,777 = 513,777/x
  3. Step 3: Cross multiply
    343,571x = 513,777 × 513,777
  4. Step 4: Simplify right side
    343,571x = 263,966,805,729
  5. Step 5: Solve for x
    x = 263,966,805,729/343,571
  6. Step 6: Final answer
    x = 768,303.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.