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Finding the Third Proportional to 378,475 and 826,609

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Solution

The third proportional to 378,475 and 826,609 is: 1,805,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,475 : 826,609 = 826,609 : x
  2. Step 2: Convert to fraction form
    378,475/826,609 = 826,609/x
  3. Step 3: Cross multiply
    378,475x = 826,609 × 826,609
  4. Step 4: Simplify right side
    378,475x = 683,282,438,881
  5. Step 5: Solve for x
    x = 683,282,438,881/378,475
  6. Step 6: Final answer
    x = 1,805,356.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.