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Finding the Third Proportional to 275,229 and 423,171.75

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Solution

The third proportional to 275,229 and 423,171.75 is: 650,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,229 : 423,171.75 = 423,171.75 : x
  2. Step 2: Convert to fraction form
    275,229/423,171.75 = 423,171.75/x
  3. Step 3: Cross multiply
    275,229x = 423,171.75 × 423,171.75
  4. Step 4: Simplify right side
    275,229x = 179,074,329,998.06
  5. Step 5: Solve for x
    x = 179,074,329,998.06/275,229
  6. Step 6: Final answer
    x = 650,637.58

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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.