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Finding the Third Proportional to 78,192 and 168,783

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Solution

The third proportional to 78,192 and 168,783 is: 364,330.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,192 : 168,783 = 168,783 : x
  2. Step 2: Convert to fraction form
    78,192/168,783 = 168,783/x
  3. Step 3: Cross multiply
    78,192x = 168,783 × 168,783
  4. Step 4: Simplify right side
    78,192x = 28,487,701,089
  5. Step 5: Solve for x
    x = 28,487,701,089/78,192
  6. Step 6: Final answer
    x = 364,330.12

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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.