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Finding the Third Proportional to 307,241.50 and 626,681.25

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Solution

The third proportional to 307,241.50 and 626,681.25 is: 1,278,243.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,241.50 : 626,681.25 = 626,681.25 : x
  2. Step 2: Convert to fraction form
    307,241.50/626,681.25 = 626,681.25/x
  3. Step 3: Cross multiply
    307,241.50x = 626,681.25 × 626,681.25
  4. Step 4: Simplify right side
    307,241.50x = 392,729,389,101.56
  5. Step 5: Solve for x
    x = 392,729,389,101.56/307,241.50
  6. Step 6: Final answer
    x = 1,278,243.30

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.