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Finding the Third Proportional to 139,367.25 and 210,356.25

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Solution

The third proportional to 139,367.25 and 210,356.25 is: 317,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,367.25 : 210,356.25 = 210,356.25 : x
  2. Step 2: Convert to fraction form
    139,367.25/210,356.25 = 210,356.25/x
  3. Step 3: Cross multiply
    139,367.25x = 210,356.25 × 210,356.25
  4. Step 4: Simplify right side
    139,367.25x = 44,249,751,914.06
  5. Step 5: Solve for x
    x = 44,249,751,914.06/139,367.25
  6. Step 6: Final answer
    x = 317,504.66

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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.