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Finding the Third Proportional to 5,430 and 12,619

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Solution

The third proportional to 5,430 and 12,619 is: 29,325.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430 : 12,619 = 12,619 : x
  2. Step 2: Convert to fraction form
    5,430/12,619 = 12,619/x
  3. Step 3: Cross multiply
    5,430x = 12,619 × 12,619
  4. Step 4: Simplify right side
    5,430x = 159,239,161
  5. Step 5: Solve for x
    x = 159,239,161/5,430
  6. Step 6: Final answer
    x = 29,325.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.