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Finding the Third Proportional to 76,854 and 168,288

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Solution

The third proportional to 76,854 and 168,288 is: 368,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,854 : 168,288 = 168,288 : x
  2. Step 2: Convert to fraction form
    76,854/168,288 = 168,288/x
  3. Step 3: Cross multiply
    76,854x = 168,288 × 168,288
  4. Step 4: Simplify right side
    76,854x = 28,320,850,944
  5. Step 5: Solve for x
    x = 28,320,850,944/76,854
  6. Step 6: Final answer
    x = 368,501.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.