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Finding the Third Proportional to 197,207 and 282,009

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Solution

The third proportional to 197,207 and 282,009 is: 403,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,207 : 282,009 = 282,009 : x
  2. Step 2: Convert to fraction form
    197,207/282,009 = 282,009/x
  3. Step 3: Cross multiply
    197,207x = 282,009 × 282,009
  4. Step 4: Simplify right side
    197,207x = 79,529,076,081
  5. Step 5: Solve for x
    x = 79,529,076,081/197,207
  6. Step 6: Final answer
    x = 403,277.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.