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Finding the Third Proportional to 7,800 and 16,246.50

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Solution

The third proportional to 7,800 and 16,246.50 is: 33,839.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 16,246.50 = 16,246.50 : x
  2. Step 2: Convert to fraction form
    7,800/16,246.50 = 16,246.50/x
  3. Step 3: Cross multiply
    7,800x = 16,246.50 × 16,246.50
  4. Step 4: Simplify right side
    7,800x = 263,948,762.25
  5. Step 5: Solve for x
    x = 263,948,762.25/7,800
  6. Step 6: Final answer
    x = 33,839.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.