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Finding the Third Proportional to 119,816 and 131,336

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Solution

The third proportional to 119,816 and 131,336 is: 143,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,816 : 131,336 = 131,336 : x
  2. Step 2: Convert to fraction form
    119,816/131,336 = 131,336/x
  3. Step 3: Cross multiply
    119,816x = 131,336 × 131,336
  4. Step 4: Simplify right side
    119,816x = 17,249,144,896
  5. Step 5: Solve for x
    x = 17,249,144,896/119,816
  6. Step 6: Final answer
    x = 143,963.62

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.