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Finding the Third Proportional to 144,078.38 and 211,446.56

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Solution

The third proportional to 144,078.38 and 211,446.56 is: 310,314.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,078.38 : 211,446.56 = 211,446.56 : x
  2. Step 2: Convert to fraction form
    144,078.38/211,446.56 = 211,446.56/x
  3. Step 3: Cross multiply
    144,078.38x = 211,446.56 × 211,446.56
  4. Step 4: Simplify right side
    144,078.38x = 44,709,648,793.07
  5. Step 5: Solve for x
    x = 44,709,648,793.07/144,078.38
  6. Step 6: Final answer
    x = 310,314.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.