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Finding the Third Proportional to 312,896,769 and 660,667,806

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Solution

The third proportional to 312,896,769 and 660,667,806 is: 1,394,971,099.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,896,769 : 660,667,806 = 660,667,806 : x
  2. Step 2: Convert to fraction form
    312,896,769/660,667,806 = 660,667,806/x
  3. Step 3: Cross multiply
    312,896,769x = 660,667,806 × 660,667,806
  4. Step 4: Simplify right side
    312,896,769x = 436,481,949,884,853,632
  5. Step 5: Solve for x
    x = 436,481,949,884,853,632/312,896,769
  6. Step 6: Final answer
    x = 1,394,971,099.51

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.