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Finding the Third Proportional to 270,507 and 580,878

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Solution

The third proportional to 270,507 and 580,878 is: 1,247,358.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,507 : 580,878 = 580,878 : x
  2. Step 2: Convert to fraction form
    270,507/580,878 = 580,878/x
  3. Step 3: Cross multiply
    270,507x = 580,878 × 580,878
  4. Step 4: Simplify right side
    270,507x = 337,419,250,884
  5. Step 5: Solve for x
    x = 337,419,250,884/270,507
  6. Step 6: Final answer
    x = 1,247,358.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.