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Finding the Third Proportional to 78,252 and 168,672

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Solution

The third proportional to 78,252 and 168,672 is: 363,572.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,252 : 168,672 = 168,672 : x
  2. Step 2: Convert to fraction form
    78,252/168,672 = 168,672/x
  3. Step 3: Cross multiply
    78,252x = 168,672 × 168,672
  4. Step 4: Simplify right side
    78,252x = 28,450,243,584
  5. Step 5: Solve for x
    x = 28,450,243,584/78,252
  6. Step 6: Final answer
    x = 363,572.10

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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.