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Finding the Third Proportional to 7,460.50 and 16,253

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Solution

The third proportional to 7,460.50 and 16,253 is: 35,407.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460.50 : 16,253 = 16,253 : x
  2. Step 2: Convert to fraction form
    7,460.50/16,253 = 16,253/x
  3. Step 3: Cross multiply
    7,460.50x = 16,253 × 16,253
  4. Step 4: Simplify right side
    7,460.50x = 264,160,009
  5. Step 5: Solve for x
    x = 264,160,009/7,460.50
  6. Step 6: Final answer
    x = 35,407.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.