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Finding the Third Proportional to 1,985.87 and 4,368.52

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Solution

The third proportional to 1,985.87 and 4,368.52 is: 9,609.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.87 : 4,368.52 = 4,368.52 : x
  2. Step 2: Convert to fraction form
    1,985.87/4,368.52 = 4,368.52/x
  3. Step 3: Cross multiply
    1,985.87x = 4,368.52 × 4,368.52
  4. Step 4: Simplify right side
    1,985.87x = 19,083,928.77
  5. Step 5: Solve for x
    x = 19,083,928.77/1,985.87
  6. Step 6: Final answer
    x = 9,609.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.