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Finding the Third Proportional to 200,106 and 310,247

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Solution

The third proportional to 200,106 and 310,247 is: 481,011.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,106 : 310,247 = 310,247 : x
  2. Step 2: Convert to fraction form
    200,106/310,247 = 310,247/x
  3. Step 3: Cross multiply
    200,106x = 310,247 × 310,247
  4. Step 4: Simplify right side
    200,106x = 96,253,201,009
  5. Step 5: Solve for x
    x = 96,253,201,009/200,106
  6. Step 6: Final answer
    x = 481,011.07

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.