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Finding the Third Proportional to 1,289,769.75 and 2,811,294

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Solution

The third proportional to 1,289,769.75 and 2,811,294 is: 6,127,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,769.75 : 2,811,294 = 2,811,294 : x
  2. Step 2: Convert to fraction form
    1,289,769.75/2,811,294 = 2,811,294/x
  3. Step 3: Cross multiply
    1,289,769.75x = 2,811,294 × 2,811,294
  4. Step 4: Simplify right side
    1,289,769.75x = 7,903,373,954,436
  5. Step 5: Solve for x
    x = 7,903,373,954,436/1,289,769.75
  6. Step 6: Final answer
    x = 6,127,740.21

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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.