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Finding the Third Proportional to 289,418 and 447,248

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Solution

The third proportional to 289,418 and 447,248 is: 691,148.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,418 : 447,248 = 447,248 : x
  2. Step 2: Convert to fraction form
    289,418/447,248 = 447,248/x
  3. Step 3: Cross multiply
    289,418x = 447,248 × 447,248
  4. Step 4: Simplify right side
    289,418x = 200,030,773,504
  5. Step 5: Solve for x
    x = 200,030,773,504/289,418
  6. Step 6: Final answer
    x = 691,148.35

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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.