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Finding the Third Proportional to 7,854 and 14,124

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Solution

The third proportional to 7,854 and 14,124 is: 25,399.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854 : 14,124 = 14,124 : x
  2. Step 2: Convert to fraction form
    7,854/14,124 = 14,124/x
  3. Step 3: Cross multiply
    7,854x = 14,124 × 14,124
  4. Step 4: Simplify right side
    7,854x = 199,487,376
  5. Step 5: Solve for x
    x = 199,487,376/7,854
  6. Step 6: Final answer
    x = 25,399.46

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.