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Finding the Third Proportional to 512,420 and 818,594

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Solution

The third proportional to 512,420 and 818,594 is: 1,307,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,420 : 818,594 = 818,594 : x
  2. Step 2: Convert to fraction form
    512,420/818,594 = 818,594/x
  3. Step 3: Cross multiply
    512,420x = 818,594 × 818,594
  4. Step 4: Simplify right side
    512,420x = 670,096,136,836
  5. Step 5: Solve for x
    x = 670,096,136,836/512,420
  6. Step 6: Final answer
    x = 1,307,708.79

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.