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Finding the Third Proportional to 770,340 and 1,126,980

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Solution

The third proportional to 770,340 and 1,126,980 is: 1,648,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,340 : 1,126,980 = 1,126,980 : x
  2. Step 2: Convert to fraction form
    770,340/1,126,980 = 1,126,980/x
  3. Step 3: Cross multiply
    770,340x = 1,126,980 × 1,126,980
  4. Step 4: Simplify right side
    770,340x = 1,270,083,920,400
  5. Step 5: Solve for x
    x = 1,270,083,920,400/770,340
  6. Step 6: Final answer
    x = 1,648,731.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.