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Finding the Third Proportional to 291,076.88 and 633,409.88

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Solution

The third proportional to 291,076.88 and 633,409.88 is: 1,378,357.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,076.88 : 633,409.88 = 633,409.88 : x
  2. Step 2: Convert to fraction form
    291,076.88/633,409.88 = 633,409.88/x
  3. Step 3: Cross multiply
    291,076.88x = 633,409.88 × 633,409.88
  4. Step 4: Simplify right side
    291,076.88x = 401,208,069,747.52
  5. Step 5: Solve for x
    x = 401,208,069,747.52/291,076.88
  6. Step 6: Final answer
    x = 1,378,357.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.