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Finding the Third Proportional to 353,137.50 and 540,317.25

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Solution

The third proportional to 353,137.50 and 540,317.25 is: 826,711.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,137.50 : 540,317.25 = 540,317.25 : x
  2. Step 2: Convert to fraction form
    353,137.50/540,317.25 = 540,317.25/x
  3. Step 3: Cross multiply
    353,137.50x = 540,317.25 × 540,317.25
  4. Step 4: Simplify right side
    353,137.50x = 291,942,730,647.56
  5. Step 5: Solve for x
    x = 291,942,730,647.56/353,137.50
  6. Step 6: Final answer
    x = 826,711.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.