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Finding the Third Proportional to 51,253 and 111,482

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Solution

The third proportional to 51,253 and 111,482 is: 242,487.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,253 : 111,482 = 111,482 : x
  2. Step 2: Convert to fraction form
    51,253/111,482 = 111,482/x
  3. Step 3: Cross multiply
    51,253x = 111,482 × 111,482
  4. Step 4: Simplify right side
    51,253x = 12,428,236,324
  5. Step 5: Solve for x
    x = 12,428,236,324/51,253
  6. Step 6: Final answer
    x = 242,487.98

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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.