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Finding the Third Proportional to 199,138.50 and 430,079.63

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Solution

The third proportional to 199,138.50 and 430,079.63 is: 928,843.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,138.50 : 430,079.63 = 430,079.63 : x
  2. Step 2: Convert to fraction form
    199,138.50/430,079.63 = 430,079.63/x
  3. Step 3: Cross multiply
    199,138.50x = 430,079.63 × 430,079.63
  4. Step 4: Simplify right side
    199,138.50x = 184,968,483,840.14
  5. Step 5: Solve for x
    x = 184,968,483,840.14/199,138.50
  6. Step 6: Final answer
    x = 928,843.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.