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Finding the Third Proportional to 579,420 and 930,690

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Solution

The third proportional to 579,420 and 930,690 is: 1,494,915.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,420 : 930,690 = 930,690 : x
  2. Step 2: Convert to fraction form
    579,420/930,690 = 930,690/x
  3. Step 3: Cross multiply
    579,420x = 930,690 × 930,690
  4. Step 4: Simplify right side
    579,420x = 866,183,876,100
  5. Step 5: Solve for x
    x = 866,183,876,100/579,420
  6. Step 6: Final answer
    x = 1,494,915.39

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.