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Finding the Third Proportional to 77,907 and 168,271

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Solution

The third proportional to 77,907 and 168,271 is: 363,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,907 : 168,271 = 168,271 : x
  2. Step 2: Convert to fraction form
    77,907/168,271 = 168,271/x
  3. Step 3: Cross multiply
    77,907x = 168,271 × 168,271
  4. Step 4: Simplify right side
    77,907x = 28,315,129,441
  5. Step 5: Solve for x
    x = 28,315,129,441/77,907
  6. Step 6: Final answer
    x = 363,447.82

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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.