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Finding the Third Proportional to 362,616 and 777,680

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Solution

The third proportional to 362,616 and 777,680 is: 1,667,841.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,616 : 777,680 = 777,680 : x
  2. Step 2: Convert to fraction form
    362,616/777,680 = 777,680/x
  3. Step 3: Cross multiply
    362,616x = 777,680 × 777,680
  4. Step 4: Simplify right side
    362,616x = 604,786,182,400
  5. Step 5: Solve for x
    x = 604,786,182,400/362,616
  6. Step 6: Final answer
    x = 1,667,841.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.