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Finding the Third Proportional to 172,168.50 and 373,821.75

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Solution

The third proportional to 172,168.50 and 373,821.75 is: 811,662.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,168.50 : 373,821.75 = 373,821.75 : x
  2. Step 2: Convert to fraction form
    172,168.50/373,821.75 = 373,821.75/x
  3. Step 3: Cross multiply
    172,168.50x = 373,821.75 × 373,821.75
  4. Step 4: Simplify right side
    172,168.50x = 139,742,700,773.06
  5. Step 5: Solve for x
    x = 139,742,700,773.06/172,168.50
  6. Step 6: Final answer
    x = 811,662.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.