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Finding the Third Proportional to 270,690 and 587,484

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Solution

The third proportional to 270,690 and 587,484 is: 1,275,028.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,690 : 587,484 = 587,484 : x
  2. Step 2: Convert to fraction form
    270,690/587,484 = 587,484/x
  3. Step 3: Cross multiply
    270,690x = 587,484 × 587,484
  4. Step 4: Simplify right side
    270,690x = 345,137,450,256
  5. Step 5: Solve for x
    x = 345,137,450,256/270,690
  6. Step 6: Final answer
    x = 1,275,028.45

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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.