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Finding the Third Proportional to 9,120 and 16,392

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Solution

The third proportional to 9,120 and 16,392 is: 29,462.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120 : 16,392 = 16,392 : x
  2. Step 2: Convert to fraction form
    9,120/16,392 = 16,392/x
  3. Step 3: Cross multiply
    9,120x = 16,392 × 16,392
  4. Step 4: Simplify right side
    9,120x = 268,697,664
  5. Step 5: Solve for x
    x = 268,697,664/9,120
  6. Step 6: Final answer
    x = 29,462.46

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1.5x scale

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.