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Finding the Third Proportional to 77,018 and 115,213

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Solution

The third proportional to 77,018 and 115,213 is: 172,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,018 : 115,213 = 115,213 : x
  2. Step 2: Convert to fraction form
    77,018/115,213 = 115,213/x
  3. Step 3: Cross multiply
    77,018x = 115,213 × 115,213
  4. Step 4: Simplify right side
    77,018x = 13,274,035,369
  5. Step 5: Solve for x
    x = 13,274,035,369/77,018
  6. Step 6: Final answer
    x = 172,349.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.