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Finding the Third Proportional to 77,786 and 171,124

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Solution

The third proportional to 77,786 and 171,124 is: 376,461.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,786 : 171,124 = 171,124 : x
  2. Step 2: Convert to fraction form
    77,786/171,124 = 171,124/x
  3. Step 3: Cross multiply
    77,786x = 171,124 × 171,124
  4. Step 4: Simplify right side
    77,786x = 29,283,423,376
  5. Step 5: Solve for x
    x = 29,283,423,376/77,786
  6. Step 6: Final answer
    x = 376,461.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.