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Finding the Third Proportional to 379,869.75 and 829,723.50

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Solution

The third proportional to 379,869.75 and 829,723.50 is: 1,812,308.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,869.75 : 829,723.50 = 829,723.50 : x
  2. Step 2: Convert to fraction form
    379,869.75/829,723.50 = 829,723.50/x
  3. Step 3: Cross multiply
    379,869.75x = 829,723.50 × 829,723.50
  4. Step 4: Simplify right side
    379,869.75x = 688,441,086,452.25
  5. Step 5: Solve for x
    x = 688,441,086,452.25/379,869.75
  6. Step 6: Final answer
    x = 1,812,308.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.