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Finding the Third Proportional to 398,364 and 860,112

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Solution

The third proportional to 398,364 and 860,112 is: 1,857,077.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,364 : 860,112 = 860,112 : x
  2. Step 2: Convert to fraction form
    398,364/860,112 = 860,112/x
  3. Step 3: Cross multiply
    398,364x = 860,112 × 860,112
  4. Step 4: Simplify right side
    398,364x = 739,792,652,544
  5. Step 5: Solve for x
    x = 739,792,652,544/398,364
  6. Step 6: Final answer
    x = 1,857,077.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.