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Finding the Third Proportional to 286,437.94 and 627,960.94

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Solution

The third proportional to 286,437.94 and 627,960.94 is: 1,376,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,437.94 : 627,960.94 = 627,960.94 : x
  2. Step 2: Convert to fraction form
    286,437.94/627,960.94 = 627,960.94/x
  3. Step 3: Cross multiply
    286,437.94x = 627,960.94 × 627,960.94
  4. Step 4: Simplify right side
    286,437.94x = 394,334,939,025.88
  5. Step 5: Solve for x
    x = 394,334,939,025.88/286,437.94
  6. Step 6: Final answer
    x = 1,376,685.44

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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.