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Finding the Third Proportional to 379,819.13 and 818,140.50

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Solution

The third proportional to 379,819.13 and 818,140.50 is: 1,762,296.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,819.13 : 818,140.50 = 818,140.50 : x
  2. Step 2: Convert to fraction form
    379,819.13/818,140.50 = 818,140.50/x
  3. Step 3: Cross multiply
    379,819.13x = 818,140.50 × 818,140.50
  4. Step 4: Simplify right side
    379,819.13x = 669,353,877,740.25
  5. Step 5: Solve for x
    x = 669,353,877,740.25/379,819.13
  6. Step 6: Final answer
    x = 1,762,296.40

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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.