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Finding the Third Proportional to 410,135.50 and 642,083.75

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Solution

The third proportional to 410,135.50 and 642,083.75 is: 1,005,208.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,135.50 : 642,083.75 = 642,083.75 : x
  2. Step 2: Convert to fraction form
    410,135.50/642,083.75 = 642,083.75/x
  3. Step 3: Cross multiply
    410,135.50x = 642,083.75 × 642,083.75
  4. Step 4: Simplify right side
    410,135.50x = 412,271,542,014.06
  5. Step 5: Solve for x
    x = 412,271,542,014.06/410,135.50
  6. Step 6: Final answer
    x = 1,005,208.14

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.