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Finding the Third Proportional to 378,402.19 and 584,334.56

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Solution

The third proportional to 378,402.19 and 584,334.56 is: 902,338.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,402.19 : 584,334.56 = 584,334.56 : x
  2. Step 2: Convert to fraction form
    378,402.19/584,334.56 = 584,334.56/x
  3. Step 3: Cross multiply
    378,402.19x = 584,334.56 × 584,334.56
  4. Step 4: Simplify right side
    378,402.19x = 341,446,880,932.07
  5. Step 5: Solve for x
    x = 341,446,880,932.07/378,402.19
  6. Step 6: Final answer
    x = 902,338.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.