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Finding the Third Proportional to 192,767 and 417,712

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Solution

The third proportional to 192,767 and 417,712 is: 905,151.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,767 : 417,712 = 417,712 : x
  2. Step 2: Convert to fraction form
    192,767/417,712 = 417,712/x
  3. Step 3: Cross multiply
    192,767x = 417,712 × 417,712
  4. Step 4: Simplify right side
    192,767x = 174,483,314,944
  5. Step 5: Solve for x
    x = 174,483,314,944/192,767
  6. Step 6: Final answer
    x = 905,151.37

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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.