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Finding the Third Proportional to 420,159.75 and 635,241.75

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Solution

The third proportional to 420,159.75 and 635,241.75 is: 960,425.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,159.75 : 635,241.75 = 635,241.75 : x
  2. Step 2: Convert to fraction form
    420,159.75/635,241.75 = 635,241.75/x
  3. Step 3: Cross multiply
    420,159.75x = 635,241.75 × 635,241.75
  4. Step 4: Simplify right side
    420,159.75x = 403,532,080,943.06
  5. Step 5: Solve for x
    x = 403,532,080,943.06/420,159.75
  6. Step 6: Final answer
    x = 960,425.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.