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Finding the Third Proportional to 78,165 and 168,388

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Solution

The third proportional to 78,165 and 168,388 is: 362,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,165 : 168,388 = 168,388 : x
  2. Step 2: Convert to fraction form
    78,165/168,388 = 168,388/x
  3. Step 3: Cross multiply
    78,165x = 168,388 × 168,388
  4. Step 4: Simplify right side
    78,165x = 28,354,518,544
  5. Step 5: Solve for x
    x = 28,354,518,544/78,165
  6. Step 6: Final answer
    x = 362,752.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.