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Finding the Third Proportional to 139,382 and 210,378

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Solution

The third proportional to 139,382 and 210,378 is: 317,536.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,382 : 210,378 = 210,378 : x
  2. Step 2: Convert to fraction form
    139,382/210,378 = 210,378/x
  3. Step 3: Cross multiply
    139,382x = 210,378 × 210,378
  4. Step 4: Simplify right side
    139,382x = 44,258,902,884
  5. Step 5: Solve for x
    x = 44,258,902,884/139,382
  6. Step 6: Final answer
    x = 317,536.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.