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Finding the Third Proportional to 118,946 and 163,102

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Solution

The third proportional to 118,946 and 163,102 is: 223,649.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,946 : 163,102 = 163,102 : x
  2. Step 2: Convert to fraction form
    118,946/163,102 = 163,102/x
  3. Step 3: Cross multiply
    118,946x = 163,102 × 163,102
  4. Step 4: Simplify right side
    118,946x = 26,602,262,404
  5. Step 5: Solve for x
    x = 26,602,262,404/118,946
  6. Step 6: Final answer
    x = 223,649.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.