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Finding the Third Proportional to 124,213.50 and 193,701.38

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Solution

The third proportional to 124,213.50 and 193,701.38 is: 302,062.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,213.50 : 193,701.38 = 193,701.38 : x
  2. Step 2: Convert to fraction form
    124,213.50/193,701.38 = 193,701.38/x
  3. Step 3: Cross multiply
    124,213.50x = 193,701.38 × 193,701.38
  4. Step 4: Simplify right side
    124,213.50x = 37,520,222,676.89
  5. Step 5: Solve for x
    x = 37,520,222,676.89/124,213.50
  6. Step 6: Final answer
    x = 302,062.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.