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Finding the Third Proportional to 309,555 and 677,436

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Solution

The third proportional to 309,555 and 677,436 is: 1,482,513.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,555 : 677,436 = 677,436 : x
  2. Step 2: Convert to fraction form
    309,555/677,436 = 677,436/x
  3. Step 3: Cross multiply
    309,555x = 677,436 × 677,436
  4. Step 4: Simplify right side
    309,555x = 458,919,534,096
  5. Step 5: Solve for x
    x = 458,919,534,096/309,555
  6. Step 6: Final answer
    x = 1,482,513.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.