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Finding the Third Proportional to 318,867 and 486,775.50

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Solution

The third proportional to 318,867 and 486,775.50 is: 743,101.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,867 : 486,775.50 = 486,775.50 : x
  2. Step 2: Convert to fraction form
    318,867/486,775.50 = 486,775.50/x
  3. Step 3: Cross multiply
    318,867x = 486,775.50 × 486,775.50
  4. Step 4: Simplify right side
    318,867x = 236,950,387,400.25
  5. Step 5: Solve for x
    x = 236,950,387,400.25/318,867
  6. Step 6: Final answer
    x = 743,101.00

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.