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Finding the Third Proportional to 102,616 and 163,932

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Solution

The third proportional to 102,616 and 163,932 is: 261,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,616 : 163,932 = 163,932 : x
  2. Step 2: Convert to fraction form
    102,616/163,932 = 163,932/x
  3. Step 3: Cross multiply
    102,616x = 163,932 × 163,932
  4. Step 4: Simplify right side
    102,616x = 26,873,700,624
  5. Step 5: Solve for x
    x = 26,873,700,624/102,616
  6. Step 6: Final answer
    x = 261,886.07

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.