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Finding the Third Proportional to 7,815 and 16,446.75

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Solution

The third proportional to 7,815 and 16,446.75 is: 34,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,815 : 16,446.75 = 16,446.75 : x
  2. Step 2: Convert to fraction form
    7,815/16,446.75 = 16,446.75/x
  3. Step 3: Cross multiply
    7,815x = 16,446.75 × 16,446.75
  4. Step 4: Simplify right side
    7,815x = 270,495,585.56
  5. Step 5: Solve for x
    x = 270,495,585.56/7,815
  6. Step 6: Final answer
    x = 34,612.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.