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Finding the Third Proportional to 291,130.88 and 633,519.56

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Solution

The third proportional to 291,130.88 and 633,519.56 is: 1,378,579.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,130.88 : 633,519.56 = 633,519.56 : x
  2. Step 2: Convert to fraction form
    291,130.88/633,519.56 = 633,519.56/x
  3. Step 3: Cross multiply
    291,130.88x = 633,519.56 × 633,519.56
  4. Step 4: Simplify right side
    291,130.88x = 401,347,036,070.19
  5. Step 5: Solve for x
    x = 401,347,036,070.19/291,130.88
  6. Step 6: Final answer
    x = 1,378,579.43

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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.