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Finding the Third Proportional to 121,696 and 162,784

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Solution

The third proportional to 121,696 and 162,784 is: 217,744.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,696 : 162,784 = 162,784 : x
  2. Step 2: Convert to fraction form
    121,696/162,784 = 162,784/x
  3. Step 3: Cross multiply
    121,696x = 162,784 × 162,784
  4. Step 4: Simplify right side
    121,696x = 26,498,630,656
  5. Step 5: Solve for x
    x = 26,498,630,656/121,696
  6. Step 6: Final answer
    x = 217,744.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.