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Finding the Third Proportional to 89,596.50 and 192,473.63

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Solution

The third proportional to 89,596.50 and 192,473.63 is: 413,477.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,596.50 : 192,473.63 = 192,473.63 : x
  2. Step 2: Convert to fraction form
    89,596.50/192,473.63 = 192,473.63/x
  3. Step 3: Cross multiply
    89,596.50x = 192,473.63 × 192,473.63
  4. Step 4: Simplify right side
    89,596.50x = 37,046,096,320.64
  5. Step 5: Solve for x
    x = 37,046,096,320.64/89,596.50
  6. Step 6: Final answer
    x = 413,477.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.