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Finding the Third Proportional to 139,498 and 302,176

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Solution

The third proportional to 139,498 and 302,176 is: 654,563.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,498 : 302,176 = 302,176 : x
  2. Step 2: Convert to fraction form
    139,498/302,176 = 302,176/x
  3. Step 3: Cross multiply
    139,498x = 302,176 × 302,176
  4. Step 4: Simplify right side
    139,498x = 91,310,334,976
  5. Step 5: Solve for x
    x = 91,310,334,976/139,498
  6. Step 6: Final answer
    x = 654,563.76

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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.