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Finding the Third Proportional to 163,784 and 259,689

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Solution

The third proportional to 163,784 and 259,689 is: 411,751.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,784 : 259,689 = 259,689 : x
  2. Step 2: Convert to fraction form
    163,784/259,689 = 259,689/x
  3. Step 3: Cross multiply
    163,784x = 259,689 × 259,689
  4. Step 4: Simplify right side
    163,784x = 67,438,376,721
  5. Step 5: Solve for x
    x = 67,438,376,721/163,784
  6. Step 6: Final answer
    x = 411,751.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.