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Finding the Third Proportional to 15,352 and 20,185

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Solution

The third proportional to 15,352 and 20,185 is: 26,539.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,352 : 20,185 = 20,185 : x
  2. Step 2: Convert to fraction form
    15,352/20,185 = 20,185/x
  3. Step 3: Cross multiply
    15,352x = 20,185 × 20,185
  4. Step 4: Simplify right side
    15,352x = 407,434,225
  5. Step 5: Solve for x
    x = 407,434,225/15,352
  6. Step 6: Final answer
    x = 26,539.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.