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Finding the Third Proportional to 140,433.75 and 212,446.13

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Solution

The third proportional to 140,433.75 and 212,446.13 is: 321,385.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,433.75 : 212,446.13 = 212,446.13 : x
  2. Step 2: Convert to fraction form
    140,433.75/212,446.13 = 212,446.13/x
  3. Step 3: Cross multiply
    140,433.75x = 212,446.13 × 212,446.13
  4. Step 4: Simplify right side
    140,433.75x = 45,133,356,027.52
  5. Step 5: Solve for x
    x = 45,133,356,027.52/140,433.75
  6. Step 6: Final answer
    x = 321,385.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.