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Finding the Third Proportional to 308,038.50 and 620,655.75

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Solution

The third proportional to 308,038.50 and 620,655.75 is: 1,250,537.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,038.50 : 620,655.75 = 620,655.75 : x
  2. Step 2: Convert to fraction form
    308,038.50/620,655.75 = 620,655.75/x
  3. Step 3: Cross multiply
    308,038.50x = 620,655.75 × 620,655.75
  4. Step 4: Simplify right side
    308,038.50x = 385,213,560,008.06
  5. Step 5: Solve for x
    x = 385,213,560,008.06/308,038.50
  6. Step 6: Final answer
    x = 1,250,537.06

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.