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Finding the Third Proportional to 368,808 and 804,640

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Solution

The third proportional to 368,808 and 804,640 is: 1,755,508.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,808 : 804,640 = 804,640 : x
  2. Step 2: Convert to fraction form
    368,808/804,640 = 804,640/x
  3. Step 3: Cross multiply
    368,808x = 804,640 × 804,640
  4. Step 4: Simplify right side
    368,808x = 647,445,529,600
  5. Step 5: Solve for x
    x = 647,445,529,600/368,808
  6. Step 6: Final answer
    x = 1,755,508.37

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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.