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Finding the Third Proportional to 4,856.68 and 10,402.49

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Solution

The third proportional to 4,856.68 and 10,402.49 is: 22,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,856.68 : 10,402.49 = 10,402.49 : x
  2. Step 2: Convert to fraction form
    4,856.68/10,402.49 = 10,402.49/x
  3. Step 3: Cross multiply
    4,856.68x = 10,402.49 × 10,402.49
  4. Step 4: Simplify right side
    4,856.68x = 108,211,762.44
  5. Step 5: Solve for x
    x = 108,211,762.44/4,856.68
  6. Step 6: Final answer
    x = 22,281.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.