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Finding the Third Proportional to 357,405 and 766,638

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Solution

The third proportional to 357,405 and 766,638 is: 1,644,447.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,405 : 766,638 = 766,638 : x
  2. Step 2: Convert to fraction form
    357,405/766,638 = 766,638/x
  3. Step 3: Cross multiply
    357,405x = 766,638 × 766,638
  4. Step 4: Simplify right side
    357,405x = 587,733,823,044
  5. Step 5: Solve for x
    x = 587,733,823,044/357,405
  6. Step 6: Final answer
    x = 1,644,447.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.