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Finding the Third Proportional to 7,790 and 16,827.50

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Solution

The third proportional to 7,790 and 16,827.50 is: 36,349.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,790 : 16,827.50 = 16,827.50 : x
  2. Step 2: Convert to fraction form
    7,790/16,827.50 = 16,827.50/x
  3. Step 3: Cross multiply
    7,790x = 16,827.50 × 16,827.50
  4. Step 4: Simplify right side
    7,790x = 283,164,756.25
  5. Step 5: Solve for x
    x = 283,164,756.25/7,790
  6. Step 6: Final answer
    x = 36,349.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.