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Finding the Third Proportional to 84,478 and 118,106

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Solution

The third proportional to 84,478 and 118,106 is: 165,120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,478 : 118,106 = 118,106 : x
  2. Step 2: Convert to fraction form
    84,478/118,106 = 118,106/x
  3. Step 3: Cross multiply
    84,478x = 118,106 × 118,106
  4. Step 4: Simplify right side
    84,478x = 13,949,027,236
  5. Step 5: Solve for x
    x = 13,949,027,236/84,478
  6. Step 6: Final answer
    x = 165,120.24

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.