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Finding the Third Proportional to 265,876 and 578,408

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Solution

The third proportional to 265,876 and 578,408 is: 1,258,315.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,876 : 578,408 = 578,408 : x
  2. Step 2: Convert to fraction form
    265,876/578,408 = 578,408/x
  3. Step 3: Cross multiply
    265,876x = 578,408 × 578,408
  4. Step 4: Simplify right side
    265,876x = 334,555,814,464
  5. Step 5: Solve for x
    x = 334,555,814,464/265,876
  6. Step 6: Final answer
    x = 1,258,315.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.