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Finding the Third Proportional to 139,888 and 302,112

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Solution

The third proportional to 139,888 and 302,112 is: 652,462.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,888 : 302,112 = 302,112 : x
  2. Step 2: Convert to fraction form
    139,888/302,112 = 302,112/x
  3. Step 3: Cross multiply
    139,888x = 302,112 × 302,112
  4. Step 4: Simplify right side
    139,888x = 91,271,660,544
  5. Step 5: Solve for x
    x = 91,271,660,544/139,888
  6. Step 6: Final answer
    x = 652,462.40

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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.