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Finding the Third Proportional to 408,983 and 837,798

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Solution

The third proportional to 408,983 and 837,798 is: 1,716,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,983 : 837,798 = 837,798 : x
  2. Step 2: Convert to fraction form
    408,983/837,798 = 837,798/x
  3. Step 3: Cross multiply
    408,983x = 837,798 × 837,798
  4. Step 4: Simplify right side
    408,983x = 701,905,488,804
  5. Step 5: Solve for x
    x = 701,905,488,804/408,983
  6. Step 6: Final answer
    x = 1,716,221.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.