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Finding the Third Proportional to 285,714 and 676,890

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Solution

The third proportional to 285,714 and 676,890 is: 1,603,631.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,714 : 676,890 = 676,890 : x
  2. Step 2: Convert to fraction form
    285,714/676,890 = 676,890/x
  3. Step 3: Cross multiply
    285,714x = 676,890 × 676,890
  4. Step 4: Simplify right side
    285,714x = 458,180,072,100
  5. Step 5: Solve for x
    x = 458,180,072,100/285,714
  6. Step 6: Final answer
    x = 1,603,631.86

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.