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Finding the Third Proportional to 5,430 and 12,576

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Solution

The third proportional to 5,430 and 12,576 is: 29,126.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,430 : 12,576 = 12,576 : x
  2. Step 2: Convert to fraction form
    5,430/12,576 = 12,576/x
  3. Step 3: Cross multiply
    5,430x = 12,576 × 12,576
  4. Step 4: Simplify right side
    5,430x = 158,155,776
  5. Step 5: Solve for x
    x = 158,155,776/5,430
  6. Step 6: Final answer
    x = 29,126.29

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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.