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Finding the Third Proportional to 323,808 and 687,075

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Solution

The third proportional to 323,808 and 687,075 is: 1,457,876.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,808 : 687,075 = 687,075 : x
  2. Step 2: Convert to fraction form
    323,808/687,075 = 687,075/x
  3. Step 3: Cross multiply
    323,808x = 687,075 × 687,075
  4. Step 4: Simplify right side
    323,808x = 472,072,055,625
  5. Step 5: Solve for x
    x = 472,072,055,625/323,808
  6. Step 6: Final answer
    x = 1,457,876.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.