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Finding the Third Proportional to 141,818 and 302,408

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Solution

The third proportional to 141,818 and 302,408 is: 644,844.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,818 : 302,408 = 302,408 : x
  2. Step 2: Convert to fraction form
    141,818/302,408 = 302,408/x
  3. Step 3: Cross multiply
    141,818x = 302,408 × 302,408
  4. Step 4: Simplify right side
    141,818x = 91,450,598,464
  5. Step 5: Solve for x
    x = 91,450,598,464/141,818
  6. Step 6: Final answer
    x = 644,844.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.