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Finding the Third Proportional to 580,255 and 1,261,390

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Solution

The third proportional to 580,255 and 1,261,390 is: 2,742,078.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,255 : 1,261,390 = 1,261,390 : x
  2. Step 2: Convert to fraction form
    580,255/1,261,390 = 1,261,390/x
  3. Step 3: Cross multiply
    580,255x = 1,261,390 × 1,261,390
  4. Step 4: Simplify right side
    580,255x = 1,591,104,732,100
  5. Step 5: Solve for x
    x = 1,591,104,732,100/580,255
  6. Step 6: Final answer
    x = 2,742,078.45

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.