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Finding the Third Proportional to 140,364 and 210,363.75

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Solution

The third proportional to 140,364 and 210,363.75 is: 315,272.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,364 : 210,363.75 = 210,363.75 : x
  2. Step 2: Convert to fraction form
    140,364/210,363.75 = 210,363.75/x
  3. Step 3: Cross multiply
    140,364x = 210,363.75 × 210,363.75
  4. Step 4: Simplify right side
    140,364x = 44,252,907,314.06
  5. Step 5: Solve for x
    x = 44,252,907,314.06/140,364
  6. Step 6: Final answer
    x = 315,272.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.