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Finding the Third Proportional to 7,812.07 and 16,939.76

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Solution

The third proportional to 7,812.07 and 16,939.76 is: 36,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.07 : 16,939.76 = 16,939.76 : x
  2. Step 2: Convert to fraction form
    7,812.07/16,939.76 = 16,939.76/x
  3. Step 3: Cross multiply
    7,812.07x = 16,939.76 × 16,939.76
  4. Step 4: Simplify right side
    7,812.07x = 286,955,394.75
  5. Step 5: Solve for x
    x = 286,955,394.75/7,812.07
  6. Step 6: Final answer
    x = 36,732.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.