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Finding the Third Proportional to 77,282 and 163,009

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Solution

The third proportional to 77,282 and 163,009 is: 343,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,282 : 163,009 = 163,009 : x
  2. Step 2: Convert to fraction form
    77,282/163,009 = 163,009/x
  3. Step 3: Cross multiply
    77,282x = 163,009 × 163,009
  4. Step 4: Simplify right side
    77,282x = 26,571,934,081
  5. Step 5: Solve for x
    x = 26,571,934,081/77,282
  6. Step 6: Final answer
    x = 343,830.83

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.