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Finding the Third Proportional to 192,127.50 and 417,477

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Solution

The third proportional to 192,127.50 and 417,477 is: 907,142.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,127.50 : 417,477 = 417,477 : x
  2. Step 2: Convert to fraction form
    192,127.50/417,477 = 417,477/x
  3. Step 3: Cross multiply
    192,127.50x = 417,477 × 417,477
  4. Step 4: Simplify right side
    192,127.50x = 174,287,045,529
  5. Step 5: Solve for x
    x = 174,287,045,529/192,127.50
  6. Step 6: Final answer
    x = 907,142.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.