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Finding the Third Proportional to 92,127.38 and 200,930.63

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Solution

The third proportional to 92,127.38 and 200,930.63 is: 438,231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,127.38 : 200,930.63 = 200,930.63 : x
  2. Step 2: Convert to fraction form
    92,127.38/200,930.63 = 200,930.63/x
  3. Step 3: Cross multiply
    92,127.38x = 200,930.63 × 200,930.63
  4. Step 4: Simplify right side
    92,127.38x = 40,373,116,062.89
  5. Step 5: Solve for x
    x = 40,373,116,062.89/92,127.38
  6. Step 6: Final answer
    x = 438,231.48

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.