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Finding the Third Proportional to 78,823.50 and 172,977

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Solution

The third proportional to 78,823.50 and 172,977 is: 379,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,823.50 : 172,977 = 172,977 : x
  2. Step 2: Convert to fraction form
    78,823.50/172,977 = 172,977/x
  3. Step 3: Cross multiply
    78,823.50x = 172,977 × 172,977
  4. Step 4: Simplify right side
    78,823.50x = 29,921,042,529
  5. Step 5: Solve for x
    x = 29,921,042,529/78,823.50
  6. Step 6: Final answer
    x = 379,595.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.