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Finding the Third Proportional to 428,517 and 568,846.13

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Solution

The third proportional to 428,517 and 568,846.13 is: 755,129.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,517 : 568,846.13 = 568,846.13 : x
  2. Step 2: Convert to fraction form
    428,517/568,846.13 = 568,846.13/x
  3. Step 3: Cross multiply
    428,517x = 568,846.13 × 568,846.13
  4. Step 4: Simplify right side
    428,517x = 323,585,913,927.52
  5. Step 5: Solve for x
    x = 323,585,913,927.52/428,517
  6. Step 6: Final answer
    x = 755,129.70

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.