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Finding the Third Proportional to 306,018 and 447,282

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Solution

The third proportional to 306,018 and 447,282 is: 653,756.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,018 : 447,282 = 447,282 : x
  2. Step 2: Convert to fraction form
    306,018/447,282 = 447,282/x
  3. Step 3: Cross multiply
    306,018x = 447,282 × 447,282
  4. Step 4: Simplify right side
    306,018x = 200,061,187,524
  5. Step 5: Solve for x
    x = 200,061,187,524/306,018
  6. Step 6: Final answer
    x = 653,756.27

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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.