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Finding the Third Proportional to 7,639 and 10,306.50

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Solution

The third proportional to 7,639 and 10,306.50 is: 13,905.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639 : 10,306.50 = 10,306.50 : x
  2. Step 2: Convert to fraction form
    7,639/10,306.50 = 10,306.50/x
  3. Step 3: Cross multiply
    7,639x = 10,306.50 × 10,306.50
  4. Step 4: Simplify right side
    7,639x = 106,223,942.25
  5. Step 5: Solve for x
    x = 106,223,942.25/7,639
  6. Step 6: Final answer
    x = 13,905.48

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.