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Finding the Third Proportional to 77,638.50 and 172,773

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Solution

The third proportional to 77,638.50 and 172,773 is: 384,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,638.50 : 172,773 = 172,773 : x
  2. Step 2: Convert to fraction form
    77,638.50/172,773 = 172,773/x
  3. Step 3: Cross multiply
    77,638.50x = 172,773 × 172,773
  4. Step 4: Simplify right side
    77,638.50x = 29,850,509,529
  5. Step 5: Solve for x
    x = 29,850,509,529/77,638.50
  6. Step 6: Final answer
    x = 384,480.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.