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Finding the Third Proportional to 289,442 and 447,288

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Solution

The third proportional to 289,442 and 447,288 is: 691,214.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,442 : 447,288 = 447,288 : x
  2. Step 2: Convert to fraction form
    289,442/447,288 = 447,288/x
  3. Step 3: Cross multiply
    289,442x = 447,288 × 447,288
  4. Step 4: Simplify right side
    289,442x = 200,066,554,944
  5. Step 5: Solve for x
    x = 200,066,554,944/289,442
  6. Step 6: Final answer
    x = 691,214.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.