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Finding the Third Proportional to 323,137.50 and 493,454.50

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Solution

The third proportional to 323,137.50 and 493,454.50 is: 753,540.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,137.50 : 493,454.50 = 493,454.50 : x
  2. Step 2: Convert to fraction form
    323,137.50/493,454.50 = 493,454.50/x
  3. Step 3: Cross multiply
    323,137.50x = 493,454.50 × 493,454.50
  4. Step 4: Simplify right side
    323,137.50x = 243,497,343,570.25
  5. Step 5: Solve for x
    x = 243,497,343,570.25/323,137.50
  6. Step 6: Final answer
    x = 753,540.96

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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.