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Finding the Third Proportional to 90,138.94 and 140,124.94

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Solution

The third proportional to 90,138.94 and 140,124.94 is: 217,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,138.94 : 140,124.94 = 140,124.94 : x
  2. Step 2: Convert to fraction form
    90,138.94/140,124.94 = 140,124.94/x
  3. Step 3: Cross multiply
    90,138.94x = 140,124.94 × 140,124.94
  4. Step 4: Simplify right side
    90,138.94x = 19,634,998,109.38
  5. Step 5: Solve for x
    x = 19,634,998,109.38/90,138.94
  6. Step 6: Final answer
    x = 217,830.37

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.