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Finding the Third Proportional to 280,498 and 612,396

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Solution

The third proportional to 280,498 and 612,396 is: 1,337,010.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,498 : 612,396 = 612,396 : x
  2. Step 2: Convert to fraction form
    280,498/612,396 = 612,396/x
  3. Step 3: Cross multiply
    280,498x = 612,396 × 612,396
  4. Step 4: Simplify right side
    280,498x = 375,028,860,816
  5. Step 5: Solve for x
    x = 375,028,860,816/280,498
  6. Step 6: Final answer
    x = 1,337,010.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.