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Finding the Third Proportional to 307,770.06 and 491,669.21

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Solution

The third proportional to 307,770.06 and 491,669.21 is: 785,452.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,770.06 : 491,669.21 = 491,669.21 : x
  2. Step 2: Convert to fraction form
    307,770.06/491,669.21 = 491,669.21/x
  3. Step 3: Cross multiply
    307,770.06x = 491,669.21 × 491,669.21
  4. Step 4: Simplify right side
    307,770.06x = 241,738,611,063.31
  5. Step 5: Solve for x
    x = 241,738,611,063.31/307,770.06
  6. Step 6: Final answer
    x = 785,452.01

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.