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Finding the Third Proportional to 285,422.48 and 627,342.47

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Solution

The third proportional to 285,422.48 and 627,342.47 is: 1,378,863.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,422.48 : 627,342.47 = 627,342.47 : x
  2. Step 2: Convert to fraction form
    285,422.48/627,342.47 = 627,342.47/x
  3. Step 3: Cross multiply
    285,422.48x = 627,342.47 × 627,342.47
  4. Step 4: Simplify right side
    285,422.48x = 393,558,573,097.35
  5. Step 5: Solve for x
    x = 393,558,573,097.35/285,422.48
  6. Step 6: Final answer
    x = 1,378,863.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.