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Finding the Third Proportional to 306,244 and 447,270

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Solution

The third proportional to 306,244 and 447,270 is: 653,238.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,244 : 447,270 = 447,270 : x
  2. Step 2: Convert to fraction form
    306,244/447,270 = 447,270/x
  3. Step 3: Cross multiply
    306,244x = 447,270 × 447,270
  4. Step 4: Simplify right side
    306,244x = 200,050,452,900
  5. Step 5: Solve for x
    x = 200,050,452,900/306,244
  6. Step 6: Final answer
    x = 653,238.77

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.