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Finding the Third Proportional to 5,139.84 and 10,683.70

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Solution

The third proportional to 5,139.84 and 10,683.70 is: 22,207.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.84 : 10,683.70 = 10,683.70 : x
  2. Step 2: Convert to fraction form
    5,139.84/10,683.70 = 10,683.70/x
  3. Step 3: Cross multiply
    5,139.84x = 10,683.70 × 10,683.70
  4. Step 4: Simplify right side
    5,139.84x = 114,141,512.46
  5. Step 5: Solve for x
    x = 114,141,512.46/5,139.84
  6. Step 6: Final answer
    x = 22,207.20

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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.