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Finding the Third Proportional to 319,756 and 690,744

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Solution

The third proportional to 319,756 and 690,744 is: 1,492,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,756 : 690,744 = 690,744 : x
  2. Step 2: Convert to fraction form
    319,756/690,744 = 690,744/x
  3. Step 3: Cross multiply
    319,756x = 690,744 × 690,744
  4. Step 4: Simplify right side
    319,756x = 477,127,273,536
  5. Step 5: Solve for x
    x = 477,127,273,536/319,756
  6. Step 6: Final answer
    x = 1,492,160.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.