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Finding the Third Proportional to 99,640 and 214,072

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Solution

The third proportional to 99,640 and 214,072 is: 459,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,640 : 214,072 = 214,072 : x
  2. Step 2: Convert to fraction form
    99,640/214,072 = 214,072/x
  3. Step 3: Cross multiply
    99,640x = 214,072 × 214,072
  4. Step 4: Simplify right side
    99,640x = 45,826,821,184
  5. Step 5: Solve for x
    x = 45,826,821,184/99,640
  6. Step 6: Final answer
    x = 459,923.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.