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Finding the Third Proportional to 708,469 and 823,631

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Solution

The third proportional to 708,469 and 823,631 is: 957,512.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,469 : 823,631 = 823,631 : x
  2. Step 2: Convert to fraction form
    708,469/823,631 = 823,631/x
  3. Step 3: Cross multiply
    708,469x = 823,631 × 823,631
  4. Step 4: Simplify right side
    708,469x = 678,368,024,161
  5. Step 5: Solve for x
    x = 678,368,024,161/708,469
  6. Step 6: Final answer
    x = 957,512.64

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.