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Finding the Third Proportional to 361,940 and 771,972

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Solution

The third proportional to 361,940 and 771,972 is: 1,646,518.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,940 : 771,972 = 771,972 : x
  2. Step 2: Convert to fraction form
    361,940/771,972 = 771,972/x
  3. Step 3: Cross multiply
    361,940x = 771,972 × 771,972
  4. Step 4: Simplify right side
    361,940x = 595,940,768,784
  5. Step 5: Solve for x
    x = 595,940,768,784/361,940
  6. Step 6: Final answer
    x = 1,646,518.12

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.