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Finding the Third Proportional to 296,597.25 and 639,850.50

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Solution

The third proportional to 296,597.25 and 639,850.50 is: 1,380,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,597.25 : 639,850.50 = 639,850.50 : x
  2. Step 2: Convert to fraction form
    296,597.25/639,850.50 = 639,850.50/x
  3. Step 3: Cross multiply
    296,597.25x = 639,850.50 × 639,850.50
  4. Step 4: Simplify right side
    296,597.25x = 409,408,662,350.25
  5. Step 5: Solve for x
    x = 409,408,662,350.25/296,597.25
  6. Step 6: Final answer
    x = 1,380,352.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.