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Finding the Third Proportional to 121,664 and 162,742

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Solution

The third proportional to 121,664 and 162,742 is: 217,689.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,664 : 162,742 = 162,742 : x
  2. Step 2: Convert to fraction form
    121,664/162,742 = 162,742/x
  3. Step 3: Cross multiply
    121,664x = 162,742 × 162,742
  4. Step 4: Simplify right side
    121,664x = 26,484,958,564
  5. Step 5: Solve for x
    x = 26,484,958,564/121,664
  6. Step 6: Final answer
    x = 217,689.36

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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.