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Finding the Third Proportional to 378,588 and 809,706

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Solution

The third proportional to 378,588 and 809,706 is: 1,731,760.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,588 : 809,706 = 809,706 : x
  2. Step 2: Convert to fraction form
    378,588/809,706 = 809,706/x
  3. Step 3: Cross multiply
    378,588x = 809,706 × 809,706
  4. Step 4: Simplify right side
    378,588x = 655,623,806,436
  5. Step 5: Solve for x
    x = 655,623,806,436/378,588
  6. Step 6: Final answer
    x = 1,731,760.66

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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.