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Finding the Third Proportional to 1,289,253.50 and 2,684,459

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Solution

The third proportional to 1,289,253.50 and 2,684,459 is: 5,589,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289,253.50 : 2,684,459 = 2,684,459 : x
  2. Step 2: Convert to fraction form
    1,289,253.50/2,684,459 = 2,684,459/x
  3. Step 3: Cross multiply
    1,289,253.50x = 2,684,459 × 2,684,459
  4. Step 4: Simplify right side
    1,289,253.50x = 7,206,320,122,681
  5. Step 5: Solve for x
    x = 7,206,320,122,681/1,289,253.50
  6. Step 6: Final answer
    x = 5,589,529.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.