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Finding the Third Proportional to 280,714 and 623,636

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Solution

The third proportional to 280,714 and 623,636 is: 1,385,473.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,714 : 623,636 = 623,636 : x
  2. Step 2: Convert to fraction form
    280,714/623,636 = 623,636/x
  3. Step 3: Cross multiply
    280,714x = 623,636 × 623,636
  4. Step 4: Simplify right side
    280,714x = 388,921,860,496
  5. Step 5: Solve for x
    x = 388,921,860,496/280,714
  6. Step 6: Final answer
    x = 1,385,473.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.