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Finding the Third Proportional to 512,392 and 818,554

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Solution

The third proportional to 512,392 and 818,554 is: 1,307,652.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,392 : 818,554 = 818,554 : x
  2. Step 2: Convert to fraction form
    512,392/818,554 = 818,554/x
  3. Step 3: Cross multiply
    512,392x = 818,554 × 818,554
  4. Step 4: Simplify right side
    512,392x = 670,030,650,916
  5. Step 5: Solve for x
    x = 670,030,650,916/512,392
  6. Step 6: Final answer
    x = 1,307,652.44

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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.