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Finding the Third Proportional to 172,380 and 365,628

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Solution

The third proportional to 172,380 and 365,628 is: 775,518.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,380 : 365,628 = 365,628 : x
  2. Step 2: Convert to fraction form
    172,380/365,628 = 365,628/x
  3. Step 3: Cross multiply
    172,380x = 365,628 × 365,628
  4. Step 4: Simplify right side
    172,380x = 133,683,834,384
  5. Step 5: Solve for x
    x = 133,683,834,384/172,380
  6. Step 6: Final answer
    x = 775,518.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.