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Finding the Third Proportional to 291,007.69 and 633,273.19

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Solution

The third proportional to 291,007.69 and 633,273.19 is: 1,378,090.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,007.69 : 633,273.19 = 633,273.19 : x
  2. Step 2: Convert to fraction form
    291,007.69/633,273.19 = 633,273.19/x
  3. Step 3: Cross multiply
    291,007.69x = 633,273.19 × 633,273.19
  4. Step 4: Simplify right side
    291,007.69x = 401,034,930,006.41
  5. Step 5: Solve for x
    x = 401,034,930,006.41/291,007.69
  6. Step 6: Final answer
    x = 1,378,090.50

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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.