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Finding the Third Proportional to 378,608 and 809,746

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Solution

The third proportional to 378,608 and 809,746 is: 1,731,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,608 : 809,746 = 809,746 : x
  2. Step 2: Convert to fraction form
    378,608/809,746 = 809,746/x
  3. Step 3: Cross multiply
    378,608x = 809,746 × 809,746
  4. Step 4: Simplify right side
    378,608x = 655,688,584,516
  5. Step 5: Solve for x
    x = 655,688,584,516/378,608
  6. Step 6: Final answer
    x = 1,731,840.28

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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.