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Finding the Third Proportional to 289,000.50 and 620,610

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Solution

The third proportional to 289,000.50 and 620,610 is: 1,332,720.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,000.50 : 620,610 = 620,610 : x
  2. Step 2: Convert to fraction form
    289,000.50/620,610 = 620,610/x
  3. Step 3: Cross multiply
    289,000.50x = 620,610 × 620,610
  4. Step 4: Simplify right side
    289,000.50x = 385,156,772,100
  5. Step 5: Solve for x
    x = 385,156,772,100/289,000.50
  6. Step 6: Final answer
    x = 1,332,720.09

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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.