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Finding the Third Proportional to 299,642.25 and 643,752.75

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Solution

The third proportional to 299,642.25 and 643,752.75 is: 1,383,041.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,642.25 : 643,752.75 = 643,752.75 : x
  2. Step 2: Convert to fraction form
    299,642.25/643,752.75 = 643,752.75/x
  3. Step 3: Cross multiply
    299,642.25x = 643,752.75 × 643,752.75
  4. Step 4: Simplify right side
    299,642.25x = 414,417,603,132.56
  5. Step 5: Solve for x
    x = 414,417,603,132.56/299,642.25
  6. Step 6: Final answer
    x = 1,383,041.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.