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Finding the Third Proportional to 7,878.63 and 16,800.13

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Solution

The third proportional to 7,878.63 and 16,800.13 is: 35,824.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.63 : 16,800.13 = 16,800.13 : x
  2. Step 2: Convert to fraction form
    7,878.63/16,800.13 = 16,800.13/x
  3. Step 3: Cross multiply
    7,878.63x = 16,800.13 × 16,800.13
  4. Step 4: Simplify right side
    7,878.63x = 282,244,200.02
  5. Step 5: Solve for x
    x = 282,244,200.02/7,878.63
  6. Step 6: Final answer
    x = 35,824.04

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.