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Finding the Third Proportional to 4,959.50 and 10,330.50

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Solution

The third proportional to 4,959.50 and 10,330.50 is: 21,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.50 : 10,330.50 = 10,330.50 : x
  2. Step 2: Convert to fraction form
    4,959.50/10,330.50 = 10,330.50/x
  3. Step 3: Cross multiply
    4,959.50x = 10,330.50 × 10,330.50
  4. Step 4: Simplify right side
    4,959.50x = 106,719,230.25
  5. Step 5: Solve for x
    x = 106,719,230.25/4,959.50
  6. Step 6: Final answer
    x = 21,518.14

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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.