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Finding the Third Proportional to 70,386 and 149,408

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Solution

The third proportional to 70,386 and 149,408 is: 317,147.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,386 : 149,408 = 149,408 : x
  2. Step 2: Convert to fraction form
    70,386/149,408 = 149,408/x
  3. Step 3: Cross multiply
    70,386x = 149,408 × 149,408
  4. Step 4: Simplify right side
    70,386x = 22,322,750,464
  5. Step 5: Solve for x
    x = 22,322,750,464/70,386
  6. Step 6: Final answer
    x = 317,147.59

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.