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Finding the Third Proportional to 78,102 and 168,351

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Solution

The third proportional to 78,102 and 168,351 is: 362,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,102 : 168,351 = 168,351 : x
  2. Step 2: Convert to fraction form
    78,102/168,351 = 168,351/x
  3. Step 3: Cross multiply
    78,102x = 168,351 × 168,351
  4. Step 4: Simplify right side
    78,102x = 28,342,059,201
  5. Step 5: Solve for x
    x = 28,342,059,201/78,102
  6. Step 6: Final answer
    x = 362,885.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.