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Finding the Third Proportional to 43,143 and 91,470

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Solution

The third proportional to 43,143 and 91,470 is: 193,930.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,143 : 91,470 = 91,470 : x
  2. Step 2: Convert to fraction form
    43,143/91,470 = 91,470/x
  3. Step 3: Cross multiply
    43,143x = 91,470 × 91,470
  4. Step 4: Simplify right side
    43,143x = 8,366,760,900
  5. Step 5: Solve for x
    x = 8,366,760,900/43,143
  6. Step 6: Final answer
    x = 193,930.90

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.