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Finding the Third Proportional to 397,322 and 870,224

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Solution

The third proportional to 397,322 and 870,224 is: 1,905,985.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,322 : 870,224 = 870,224 : x
  2. Step 2: Convert to fraction form
    397,322/870,224 = 870,224/x
  3. Step 3: Cross multiply
    397,322x = 870,224 × 870,224
  4. Step 4: Simplify right side
    397,322x = 757,289,810,176
  5. Step 5: Solve for x
    x = 757,289,810,176/397,322
  6. Step 6: Final answer
    x = 1,905,985.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.