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Finding the Third Proportional to 80,410 and 118,208

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Solution

The third proportional to 80,410 and 118,208 is: 173,773.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,410 : 118,208 = 118,208 : x
  2. Step 2: Convert to fraction form
    80,410/118,208 = 118,208/x
  3. Step 3: Cross multiply
    80,410x = 118,208 × 118,208
  4. Step 4: Simplify right side
    80,410x = 13,973,131,264
  5. Step 5: Solve for x
    x = 13,973,131,264/80,410
  6. Step 6: Final answer
    x = 173,773.55

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.