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Finding the Third Proportional to 77,909 and 168,275

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Solution

The third proportional to 77,909 and 168,275 is: 363,455.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,909 : 168,275 = 168,275 : x
  2. Step 2: Convert to fraction form
    77,909/168,275 = 168,275/x
  3. Step 3: Cross multiply
    77,909x = 168,275 × 168,275
  4. Step 4: Simplify right side
    77,909x = 28,316,475,625
  5. Step 5: Solve for x
    x = 28,316,475,625/77,909
  6. Step 6: Final answer
    x = 363,455.77

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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.