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Finding the Third Proportional to 4,877.09 and 10,936.90

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Solution

The third proportional to 4,877.09 and 10,936.90 is: 24,526.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.09 : 10,936.90 = 10,936.90 : x
  2. Step 2: Convert to fraction form
    4,877.09/10,936.90 = 10,936.90/x
  3. Step 3: Cross multiply
    4,877.09x = 10,936.90 × 10,936.90
  4. Step 4: Simplify right side
    4,877.09x = 119,615,747.43
  5. Step 5: Solve for x
    x = 119,615,747.43/4,877.09
  6. Step 6: Final answer
    x = 24,526.07

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.