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Finding the Third Proportional to 7,786.75 and 18,280.63

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Solution

The third proportional to 7,786.75 and 18,280.63 is: 42,916.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,786.75 : 18,280.63 = 18,280.63 : x
  2. Step 2: Convert to fraction form
    7,786.75/18,280.63 = 18,280.63/x
  3. Step 3: Cross multiply
    7,786.75x = 18,280.63 × 18,280.63
  4. Step 4: Simplify right side
    7,786.75x = 334,181,250.39
  5. Step 5: Solve for x
    x = 334,181,250.39/7,786.75
  6. Step 6: Final answer
    x = 42,916.65

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.