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Finding the Third Proportional to 413,241.33 and 638,563.08

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Solution

The third proportional to 413,241.33 and 638,563.08 is: 986,742.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,241.33 : 638,563.08 = 638,563.08 : x
  2. Step 2: Convert to fraction form
    413,241.33/638,563.08 = 638,563.08/x
  3. Step 3: Cross multiply
    413,241.33x = 638,563.08 × 638,563.08
  4. Step 4: Simplify right side
    413,241.33x = 407,762,804,744.48
  5. Step 5: Solve for x
    x = 407,762,804,744.48/413,241.33
  6. Step 6: Final answer
    x = 986,742.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.