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Finding the Third Proportional to 361,788 and 771,608

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Solution

The third proportional to 361,788 and 771,608 is: 1,645,656.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,788 : 771,608 = 771,608 : x
  2. Step 2: Convert to fraction form
    361,788/771,608 = 771,608/x
  3. Step 3: Cross multiply
    361,788x = 771,608 × 771,608
  4. Step 4: Simplify right side
    361,788x = 595,378,905,664
  5. Step 5: Solve for x
    x = 595,378,905,664/361,788
  6. Step 6: Final answer
    x = 1,645,656.86

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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.