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Finding the Third Proportional to 139,904 and 302,224

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Solution

The third proportional to 139,904 and 302,224 is: 652,871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,904 : 302,224 = 302,224 : x
  2. Step 2: Convert to fraction form
    139,904/302,224 = 302,224/x
  3. Step 3: Cross multiply
    139,904x = 302,224 × 302,224
  4. Step 4: Simplify right side
    139,904x = 91,339,346,176
  5. Step 5: Solve for x
    x = 91,339,346,176/139,904
  6. Step 6: Final answer
    x = 652,871.58

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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.