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Finding the Third Proportional to 49,297.50 and 80,490.38

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Solution

The third proportional to 49,297.50 and 80,490.38 is: 131,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,297.50 : 80,490.38 = 80,490.38 : x
  2. Step 2: Convert to fraction form
    49,297.50/80,490.38 = 80,490.38/x
  3. Step 3: Cross multiply
    49,297.50x = 80,490.38 × 80,490.38
  4. Step 4: Simplify right side
    49,297.50x = 6,478,700,467.64
  5. Step 5: Solve for x
    x = 6,478,700,467.64/49,297.50
  6. Step 6: Final answer
    x = 131,420.47

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.