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Finding the Third Proportional to 139,428 and 210,450

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Solution

The third proportional to 139,428 and 210,450 is: 317,649.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,428 : 210,450 = 210,450 : x
  2. Step 2: Convert to fraction form
    139,428/210,450 = 210,450/x
  3. Step 3: Cross multiply
    139,428x = 210,450 × 210,450
  4. Step 4: Simplify right side
    139,428x = 44,289,202,500
  5. Step 5: Solve for x
    x = 44,289,202,500/139,428
  6. Step 6: Final answer
    x = 317,649.27

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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.