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Finding the Third Proportional to 398,880 and 860,373

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Solution

The third proportional to 398,880 and 860,373 is: 1,855,800.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,880 : 860,373 = 860,373 : x
  2. Step 2: Convert to fraction form
    398,880/860,373 = 860,373/x
  3. Step 3: Cross multiply
    398,880x = 860,373 × 860,373
  4. Step 4: Simplify right side
    398,880x = 740,241,699,129
  5. Step 5: Solve for x
    x = 740,241,699,129/398,880
  6. Step 6: Final answer
    x = 1,855,800.49

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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.