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Finding the Third Proportional to 1,772.77 and 3,856.41

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Solution

The third proportional to 1,772.77 and 3,856.41 is: 8,389.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,772.77 : 3,856.41 = 3,856.41 : x
  2. Step 2: Convert to fraction form
    1,772.77/3,856.41 = 3,856.41/x
  3. Step 3: Cross multiply
    1,772.77x = 3,856.41 × 3,856.41
  4. Step 4: Simplify right side
    1,772.77x = 14,871,869.17
  5. Step 5: Solve for x
    x = 14,871,869.17/1,772.77
  6. Step 6: Final answer
    x = 8,389.08

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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.