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Finding the Third Proportional to 378,484.50 and 826,629

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Solution

The third proportional to 378,484.50 and 826,629 is: 1,805,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,484.50 : 826,629 = 826,629 : x
  2. Step 2: Convert to fraction form
    378,484.50/826,629 = 826,629/x
  3. Step 3: Cross multiply
    378,484.50x = 826,629 × 826,629
  4. Step 4: Simplify right side
    378,484.50x = 683,315,503,641
  5. Step 5: Solve for x
    x = 683,315,503,641/378,484.50
  6. Step 6: Final answer
    x = 1,805,398.91

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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.