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Finding the Third Proportional to 289,804.50 and 639,808.50

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Solution

The third proportional to 289,804.50 and 639,808.50 is: 1,412,520.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,804.50 : 639,808.50 = 639,808.50 : x
  2. Step 2: Convert to fraction form
    289,804.50/639,808.50 = 639,808.50/x
  3. Step 3: Cross multiply
    289,804.50x = 639,808.50 × 639,808.50
  4. Step 4: Simplify right side
    289,804.50x = 409,354,916,672.25
  5. Step 5: Solve for x
    x = 409,354,916,672.25/289,804.50
  6. Step 6: Final answer
    x = 1,412,520.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.