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Finding the Third Proportional to 171,840 and 262,896

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Solution

The third proportional to 171,840 and 262,896 is: 402,201.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,840 : 262,896 = 262,896 : x
  2. Step 2: Convert to fraction form
    171,840/262,896 = 262,896/x
  3. Step 3: Cross multiply
    171,840x = 262,896 × 262,896
  4. Step 4: Simplify right side
    171,840x = 69,114,306,816
  5. Step 5: Solve for x
    x = 69,114,306,816/171,840
  6. Step 6: Final answer
    x = 402,201.51

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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.