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Finding the Third Proportional to 77,915 and 168,291

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Solution

The third proportional to 77,915 and 168,291 is: 363,496.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,915 : 168,291 = 168,291 : x
  2. Step 2: Convert to fraction form
    77,915/168,291 = 168,291/x
  3. Step 3: Cross multiply
    77,915x = 168,291 × 168,291
  4. Step 4: Simplify right side
    77,915x = 28,321,860,681
  5. Step 5: Solve for x
    x = 28,321,860,681/77,915
  6. Step 6: Final answer
    x = 363,496.90

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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.