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Finding the Third Proportional to 139,362 and 210,348.75

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Solution

The third proportional to 139,362 and 210,348.75 is: 317,493.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,362 : 210,348.75 = 210,348.75 : x
  2. Step 2: Convert to fraction form
    139,362/210,348.75 = 210,348.75/x
  3. Step 3: Cross multiply
    139,362x = 210,348.75 × 210,348.75
  4. Step 4: Simplify right side
    139,362x = 44,246,596,626.56
  5. Step 5: Solve for x
    x = 44,246,596,626.56/139,362
  6. Step 6: Final answer
    x = 317,493.98

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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.