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Finding the Third Proportional to 1,863.95 and 3,985.77

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Solution

The third proportional to 1,863.95 and 3,985.77 is: 8,522.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.95 : 3,985.77 = 3,985.77 : x
  2. Step 2: Convert to fraction form
    1,863.95/3,985.77 = 3,985.77/x
  3. Step 3: Cross multiply
    1,863.95x = 3,985.77 × 3,985.77
  4. Step 4: Simplify right side
    1,863.95x = 15,886,358.76
  5. Step 5: Solve for x
    x = 15,886,358.76/1,863.95
  6. Step 6: Final answer
    x = 8,522.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.