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Finding the Third Proportional to 280,069 and 445,294

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Solution

The third proportional to 280,069 and 445,294 is: 707,992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,069 : 445,294 = 445,294 : x
  2. Step 2: Convert to fraction form
    280,069/445,294 = 445,294/x
  3. Step 3: Cross multiply
    280,069x = 445,294 × 445,294
  4. Step 4: Simplify right side
    280,069x = 198,286,746,436
  5. Step 5: Solve for x
    x = 198,286,746,436/280,069
  6. Step 6: Final answer
    x = 707,992.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.