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Finding the Third Proportional to 455,770 and 993,546

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Solution

The third proportional to 455,770 and 993,546 is: 2,165,859.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,770 : 993,546 = 993,546 : x
  2. Step 2: Convert to fraction form
    455,770/993,546 = 993,546/x
  3. Step 3: Cross multiply
    455,770x = 993,546 × 993,546
  4. Step 4: Simplify right side
    455,770x = 987,133,654,116
  5. Step 5: Solve for x
    x = 987,133,654,116/455,770
  6. Step 6: Final answer
    x = 2,165,859.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.