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Finding the Third Proportional to 513,836 and 790,410

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Solution

The third proportional to 513,836 and 790,410 is: 1,215,850.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,836 : 790,410 = 790,410 : x
  2. Step 2: Convert to fraction form
    513,836/790,410 = 790,410/x
  3. Step 3: Cross multiply
    513,836x = 790,410 × 790,410
  4. Step 4: Simplify right side
    513,836x = 624,747,968,100
  5. Step 5: Solve for x
    x = 624,747,968,100/513,836
  6. Step 6: Final answer
    x = 1,215,850.91

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.