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Finding the Third Proportional to 512,278 and 770,070

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Solution

The third proportional to 512,278 and 770,070 is: 1,157,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,278 : 770,070 = 770,070 : x
  2. Step 2: Convert to fraction form
    512,278/770,070 = 770,070/x
  3. Step 3: Cross multiply
    512,278x = 770,070 × 770,070
  4. Step 4: Simplify right side
    512,278x = 593,007,804,900
  5. Step 5: Solve for x
    x = 593,007,804,900/512,278
  6. Step 6: Final answer
    x = 1,157,589.83

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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.