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Finding the Third Proportional to 1,638.98 and 3,569.70

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Solution

The third proportional to 1,638.98 and 3,569.70 is: 7,774.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.98 : 3,569.70 = 3,569.70 : x
  2. Step 2: Convert to fraction form
    1,638.98/3,569.70 = 3,569.70/x
  3. Step 3: Cross multiply
    1,638.98x = 3,569.70 × 3,569.70
  4. Step 4: Simplify right side
    1,638.98x = 12,742,724.62
  5. Step 5: Solve for x
    x = 12,742,724.62/1,638.98
  6. Step 6: Final answer
    x = 7,774.77

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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.