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Finding the Third Proportional to 172,942.50 and 220,978.50

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Solution

The third proportional to 172,942.50 and 220,978.50 is: 282,356.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,942.50 : 220,978.50 = 220,978.50 : x
  2. Step 2: Convert to fraction form
    172,942.50/220,978.50 = 220,978.50/x
  3. Step 3: Cross multiply
    172,942.50x = 220,978.50 × 220,978.50
  4. Step 4: Simplify right side
    172,942.50x = 48,831,497,462.25
  5. Step 5: Solve for x
    x = 48,831,497,462.25/172,942.50
  6. Step 6: Final answer
    x = 282,356.84

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.