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Finding the Third Proportional to 314,483.25 and 690,745.50

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Solution

The third proportional to 314,483.25 and 690,745.50 is: 1,517,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,483.25 : 690,745.50 = 690,745.50 : x
  2. Step 2: Convert to fraction form
    314,483.25/690,745.50 = 690,745.50/x
  3. Step 3: Cross multiply
    314,483.25x = 690,745.50 × 690,745.50
  4. Step 4: Simplify right side
    314,483.25x = 477,129,345,770.25
  5. Step 5: Solve for x
    x = 477,129,345,770.25/314,483.25
  6. Step 6: Final answer
    x = 1,517,185.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.