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Finding the Third Proportional to 140,408 and 302,958

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Solution

The third proportional to 140,408 and 302,958 is: 653,691.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,408 : 302,958 = 302,958 : x
  2. Step 2: Convert to fraction form
    140,408/302,958 = 302,958/x
  3. Step 3: Cross multiply
    140,408x = 302,958 × 302,958
  4. Step 4: Simplify right side
    140,408x = 91,783,549,764
  5. Step 5: Solve for x
    x = 91,783,549,764/140,408
  6. Step 6: Final answer
    x = 653,691.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.