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Finding the Third Proportional to 163,888 and 232,104

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Solution

The third proportional to 163,888 and 232,104 is: 328,713.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,888 : 232,104 = 232,104 : x
  2. Step 2: Convert to fraction form
    163,888/232,104 = 232,104/x
  3. Step 3: Cross multiply
    163,888x = 232,104 × 232,104
  4. Step 4: Simplify right side
    163,888x = 53,872,266,816
  5. Step 5: Solve for x
    x = 53,872,266,816/163,888
  6. Step 6: Final answer
    x = 328,713.92

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.