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Finding the Third Proportional to 7,840 and 14,208

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Solution

The third proportional to 7,840 and 14,208 is: 25,748.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840 : 14,208 = 14,208 : x
  2. Step 2: Convert to fraction form
    7,840/14,208 = 14,208/x
  3. Step 3: Cross multiply
    7,840x = 14,208 × 14,208
  4. Step 4: Simplify right side
    7,840x = 201,867,264
  5. Step 5: Solve for x
    x = 201,867,264/7,840
  6. Step 6: Final answer
    x = 25,748.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.