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Finding the Third Proportional to 380,118 and 816,392

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Solution

The third proportional to 380,118 and 816,392 is: 1,753,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,118 : 816,392 = 816,392 : x
  2. Step 2: Convert to fraction form
    380,118/816,392 = 816,392/x
  3. Step 3: Cross multiply
    380,118x = 816,392 × 816,392
  4. Step 4: Simplify right side
    380,118x = 666,495,897,664
  5. Step 5: Solve for x
    x = 666,495,897,664/380,118
  6. Step 6: Final answer
    x = 1,753,392.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.