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Finding the Third Proportional to 512,382 and 770,220

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Solution

The third proportional to 512,382 and 770,220 is: 1,157,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,382 : 770,220 = 770,220 : x
  2. Step 2: Convert to fraction form
    512,382/770,220 = 770,220/x
  3. Step 3: Cross multiply
    512,382x = 770,220 × 770,220
  4. Step 4: Simplify right side
    512,382x = 593,238,848,400
  5. Step 5: Solve for x
    x = 593,238,848,400/512,382
  6. Step 6: Final answer
    x = 1,157,805.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.