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Finding the Third Proportional to 287,205.75 and 627,922.13

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Solution

The third proportional to 287,205.75 and 627,922.13 is: 1,372,835.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,205.75 : 627,922.13 = 627,922.13 : x
  2. Step 2: Convert to fraction form
    287,205.75/627,922.13 = 627,922.13/x
  3. Step 3: Cross multiply
    287,205.75x = 627,922.13 × 627,922.13
  4. Step 4: Simplify right side
    287,205.75x = 394,286,195,064.52
  5. Step 5: Solve for x
    x = 394,286,195,064.52/287,205.75
  6. Step 6: Final answer
    x = 1,372,835.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.