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Finding the Third Proportional to 378,867.38 and 829,085.63

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Solution

The third proportional to 378,867.38 and 829,085.63 is: 1,814,310.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,867.38 : 829,085.63 = 829,085.63 : x
  2. Step 2: Convert to fraction form
    378,867.38/829,085.63 = 829,085.63/x
  3. Step 3: Cross multiply
    378,867.38x = 829,085.63 × 829,085.63
  4. Step 4: Simplify right side
    378,867.38x = 687,382,973,581.64
  5. Step 5: Solve for x
    x = 687,382,973,581.64/378,867.38
  6. Step 6: Final answer
    x = 1,814,310.28

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.