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Finding the Third Proportional to 378,237.94 and 819,514.88

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Solution

The third proportional to 378,237.94 and 819,514.88 is: 1,775,614.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,237.94 : 819,514.88 = 819,514.88 : x
  2. Step 2: Convert to fraction form
    378,237.94/819,514.88 = 819,514.88/x
  3. Step 3: Cross multiply
    378,237.94x = 819,514.88 × 819,514.88
  4. Step 4: Simplify right side
    378,237.94x = 671,604,630,346.27
  5. Step 5: Solve for x
    x = 671,604,630,346.27/378,237.94
  6. Step 6: Final answer
    x = 1,775,614.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.