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Finding the Third Proportional to 812,819 and 1,207,462

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Solution

The third proportional to 812,819 and 1,207,462 is: 1,793,713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,819 : 1,207,462 = 1,207,462 : x
  2. Step 2: Convert to fraction form
    812,819/1,207,462 = 1,207,462/x
  3. Step 3: Cross multiply
    812,819x = 1,207,462 × 1,207,462
  4. Step 4: Simplify right side
    812,819x = 1,457,964,481,444
  5. Step 5: Solve for x
    x = 1,457,964,481,444/812,819
  6. Step 6: Final answer
    x = 1,793,713.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.