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Finding the Third Proportional to 318,996 and 690,804

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Solution

The third proportional to 318,996 and 690,804 is: 1,495,975.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,996 : 690,804 = 690,804 : x
  2. Step 2: Convert to fraction form
    318,996/690,804 = 690,804/x
  3. Step 3: Cross multiply
    318,996x = 690,804 × 690,804
  4. Step 4: Simplify right side
    318,996x = 477,210,166,416
  5. Step 5: Solve for x
    x = 477,210,166,416/318,996
  6. Step 6: Final answer
    x = 1,495,975.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.