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Finding the Third Proportional to 9,639 and 12,820.50

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Solution

The third proportional to 9,639 and 12,820.50 is: 17,052.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639 : 12,820.50 = 12,820.50 : x
  2. Step 2: Convert to fraction form
    9,639/12,820.50 = 12,820.50/x
  3. Step 3: Cross multiply
    9,639x = 12,820.50 × 12,820.50
  4. Step 4: Simplify right side
    9,639x = 164,365,220.25
  5. Step 5: Solve for x
    x = 164,365,220.25/9,639
  6. Step 6: Final answer
    x = 17,052.10

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.