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Finding the Third Proportional to 378,320.63 and 791,694

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Solution

The third proportional to 378,320.63 and 791,694 is: 1,656,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,320.63 : 791,694 = 791,694 : x
  2. Step 2: Convert to fraction form
    378,320.63/791,694 = 791,694/x
  3. Step 3: Cross multiply
    378,320.63x = 791,694 × 791,694
  4. Step 4: Simplify right side
    378,320.63x = 626,779,389,636
  5. Step 5: Solve for x
    x = 626,779,389,636/378,320.63
  6. Step 6: Final answer
    x = 1,656,741.26

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.