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Finding the Third Proportional to 512,150 and 679,611

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Solution

The third proportional to 512,150 and 679,611 is: 901,827.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,150 : 679,611 = 679,611 : x
  2. Step 2: Convert to fraction form
    512,150/679,611 = 679,611/x
  3. Step 3: Cross multiply
    512,150x = 679,611 × 679,611
  4. Step 4: Simplify right side
    512,150x = 461,871,111,321
  5. Step 5: Solve for x
    x = 461,871,111,321/512,150
  6. Step 6: Final answer
    x = 901,827.81

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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.