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Finding the Third Proportional to 103,689 and 155,929

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Solution

The third proportional to 103,689 and 155,929 is: 234,488.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,689 : 155,929 = 155,929 : x
  2. Step 2: Convert to fraction form
    103,689/155,929 = 155,929/x
  3. Step 3: Cross multiply
    103,689x = 155,929 × 155,929
  4. Step 4: Simplify right side
    103,689x = 24,313,853,041
  5. Step 5: Solve for x
    x = 24,313,853,041/103,689
  6. Step 6: Final answer
    x = 234,488.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.