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Finding the Third Proportional to 78,405 and 118,341

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Solution

The third proportional to 78,405 and 118,341 is: 178,618.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405 : 118,341 = 118,341 : x
  2. Step 2: Convert to fraction form
    78,405/118,341 = 118,341/x
  3. Step 3: Cross multiply
    78,405x = 118,341 × 118,341
  4. Step 4: Simplify right side
    78,405x = 14,004,592,281
  5. Step 5: Solve for x
    x = 14,004,592,281/78,405
  6. Step 6: Final answer
    x = 178,618.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.