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Finding the Third Proportional to 288,278.50 and 620,843

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Solution

The third proportional to 288,278.50 and 620,843 is: 1,337,061.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,278.50 : 620,843 = 620,843 : x
  2. Step 2: Convert to fraction form
    288,278.50/620,843 = 620,843/x
  3. Step 3: Cross multiply
    288,278.50x = 620,843 × 620,843
  4. Step 4: Simplify right side
    288,278.50x = 385,446,030,649
  5. Step 5: Solve for x
    x = 385,446,030,649/288,278.50
  6. Step 6: Final answer
    x = 1,337,061.32

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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.