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Finding the Third Proportional to 288,273.94 and 620,834.63

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Solution

The third proportional to 288,273.94 and 620,834.63 is: 1,337,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,273.94 : 620,834.63 = 620,834.63 : x
  2. Step 2: Convert to fraction form
    288,273.94/620,834.63 = 620,834.63/x
  3. Step 3: Cross multiply
    288,273.94x = 620,834.63 × 620,834.63
  4. Step 4: Simplify right side
    288,273.94x = 385,435,631,598.89
  5. Step 5: Solve for x
    x = 385,435,631,598.89/288,273.94
  6. Step 6: Final answer
    x = 1,337,046.40

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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.